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Finding the Third Proportional to 1,153,128,098 and 2,487,654,724

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Solution

The third proportional to 1,153,128,098 and 2,487,654,724 is: 5,366,642,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,128,098 : 2,487,654,724 = 2,487,654,724 : x
  2. Step 2: Convert to fraction form
    1,153,128,098/2,487,654,724 = 2,487,654,724/x
  3. Step 3: Cross multiply
    1,153,128,098x = 2,487,654,724 × 2,487,654,724
  4. Step 4: Simplify right side
    1,153,128,098x = 6,188,426,025,839,516,672
  5. Step 5: Solve for x
    x = 6,188,426,025,839,516,672/1,153,128,098
  6. Step 6: Final answer
    x = 5,366,642,298.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.