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Finding the Third Proportional to 785,035,600 and 1,712,664,571

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Solution

The third proportional to 785,035,600 and 1,712,664,571 is: 3,736,416,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,035,600 : 1,712,664,571 = 1,712,664,571 : x
  2. Step 2: Convert to fraction form
    785,035,600/1,712,664,571 = 1,712,664,571/x
  3. Step 3: Cross multiply
    785,035,600x = 1,712,664,571 × 1,712,664,571
  4. Step 4: Simplify right side
    785,035,600x = 2,933,219,932,758,614,016
  5. Step 5: Solve for x
    x = 2,933,219,932,758,614,016/785,035,600
  6. Step 6: Final answer
    x = 3,736,416,453.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.