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Finding the Third Proportional to 2,044,377,657 and 4,446,949,425

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Solution

The third proportional to 2,044,377,657 and 4,446,949,425 is: 9,673,046,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,377,657 : 4,446,949,425 = 4,446,949,425 : x
  2. Step 2: Convert to fraction form
    2,044,377,657/4,446,949,425 = 4,446,949,425/x
  3. Step 3: Cross multiply
    2,044,377,657x = 4,446,949,425 × 4,446,949,425
  4. Step 4: Simplify right side
    2,044,377,657x = 19,775,359,188,507,832,320
  5. Step 5: Solve for x
    x = 19,775,359,188,507,832,320/2,044,377,657
  6. Step 6: Final answer
    x = 9,673,046,034.72

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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.