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Finding the Third Proportional to 292,471,449 and 642,329,751

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Solution

The third proportional to 292,471,449 and 642,329,751 is: 1,410,693,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,471,449 : 642,329,751 = 642,329,751 : x
  2. Step 2: Convert to fraction form
    292,471,449/642,329,751 = 642,329,751/x
  3. Step 3: Cross multiply
    292,471,449x = 642,329,751 × 642,329,751
  4. Step 4: Simplify right side
    292,471,449x = 412,587,509,019,721,984
  5. Step 5: Solve for x
    x = 412,587,509,019,721,984/292,471,449
  6. Step 6: Final answer
    x = 1,410,693,284.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.