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Finding the Third Proportional to 2,653,982,955 and 4,120,814,487

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Solution

The third proportional to 2,653,982,955 and 4,120,814,487 is: 6,398,350,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653,982,955 : 4,120,814,487 = 4,120,814,487 : x
  2. Step 2: Convert to fraction form
    2,653,982,955/4,120,814,487 = 4,120,814,487/x
  3. Step 3: Cross multiply
    2,653,982,955x = 4,120,814,487 × 4,120,814,487
  4. Step 4: Simplify right side
    2,653,982,955x = 16,981,112,036,269,072,384
  5. Step 5: Solve for x
    x = 16,981,112,036,269,072,384/2,653,982,955
  6. Step 6: Final answer
    x = 6,398,350,073.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.