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Finding the Third Proportional to 524,732,307 and 1,148,313,125

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Solution

The third proportional to 524,732,307 and 1,148,313,125 is: 2,512,944,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,732,307 : 1,148,313,125 = 1,148,313,125 : x
  2. Step 2: Convert to fraction form
    524,732,307/1,148,313,125 = 1,148,313,125/x
  3. Step 3: Cross multiply
    524,732,307x = 1,148,313,125 × 1,148,313,125
  4. Step 4: Simplify right side
    524,732,307x = 1,318,623,033,047,265,536
  5. Step 5: Solve for x
    x = 1,318,623,033,047,265,536/524,732,307
  6. Step 6: Final answer
    x = 2,512,944,248.82

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