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Finding the Third Proportional to 714,586,055 and 1,547,885,872

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Solution

The third proportional to 714,586,055 and 1,547,885,872 is: 3,352,921,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,586,055 : 1,547,885,872 = 1,547,885,872 : x
  2. Step 2: Convert to fraction form
    714,586,055/1,547,885,872 = 1,547,885,872/x
  3. Step 3: Cross multiply
    714,586,055x = 1,547,885,872 × 1,547,885,872
  4. Step 4: Simplify right side
    714,586,055x = 2,395,950,672,737,200,128
  5. Step 5: Solve for x
    x = 2,395,950,672,737,200,128/714,586,055
  6. Step 6: Final answer
    x = 3,352,921,115.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.