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Finding the Third Proportional to 3,925,971,600,792.80 and 8,591,510,192,437.50

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Solution

The third proportional to 3,925,971,600,792.80 and 8,591,510,192,437.50 is: 18,801,472,576,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925,971,600,792.80 : 8,591,510,192,437.50 = 8,591,510,192,437.50 : x
  2. Step 2: Convert to fraction form
    3,925,971,600,792.80/8,591,510,192,437.50 = 8,591,510,192,437.50/x
  3. Step 3: Cross multiply
    3,925,971,600,792.80x = 8,591,510,192,437.50 × 8,591,510,192,437.50
  4. Step 4: Simplify right side
    3,925,971,600,792.80x = 73,814,047,386,757,447,674,757,120
  5. Step 5: Solve for x
    x = 73,814,047,386,757,447,674,757,120/3,925,971,600,792.80
  6. Step 6: Final answer
    x = 18,801,472,576,075.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.