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Finding the Third Proportional to 754,624,230 and 1,199,961,763.50

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Solution

The third proportional to 754,624,230 and 1,199,961,763.50 is: 1,908,112,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,624,230 : 1,199,961,763.50 = 1,199,961,763.50 : x
  2. Step 2: Convert to fraction form
    754,624,230/1,199,961,763.50 = 1,199,961,763.50/x
  3. Step 3: Cross multiply
    754,624,230x = 1,199,961,763.50 × 1,199,961,763.50
  4. Step 4: Simplify right side
    754,624,230x = 1,439,908,233,862,029,824
  5. Step 5: Solve for x
    x = 1,439,908,233,862,029,824/754,624,230
  6. Step 6: Final answer
    x = 1,908,112,907.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.