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Finding the Third Proportional to 613,252,724 and 1,337,497,788

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Solution

The third proportional to 613,252,724 and 1,337,497,788 is: 2,917,068,710.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,252,724 : 1,337,497,788 = 1,337,497,788 : x
  2. Step 2: Convert to fraction form
    613,252,724/1,337,497,788 = 1,337,497,788/x
  3. Step 3: Cross multiply
    613,252,724x = 1,337,497,788 × 1,337,497,788
  4. Step 4: Simplify right side
    613,252,724x = 1,788,900,332,904,892,928
  5. Step 5: Solve for x
    x = 1,788,900,332,904,892,928/613,252,724
  6. Step 6: Final answer
    x = 2,917,068,710.66

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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.