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Finding the Third Proportional to 2,279,202,725 and 4,938,812,446

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Solution

The third proportional to 2,279,202,725 and 4,938,812,446 is: 10,701,930,157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279,202,725 : 4,938,812,446 = 4,938,812,446 : x
  2. Step 2: Convert to fraction form
    2,279,202,725/4,938,812,446 = 4,938,812,446/x
  3. Step 3: Cross multiply
    2,279,202,725x = 4,938,812,446 × 4,938,812,446
  4. Step 4: Simplify right side
    2,279,202,725x = 24,391,868,376,764,502,016
  5. Step 5: Solve for x
    x = 24,391,868,376,764,502,016/2,279,202,725
  6. Step 6: Final answer
    x = 10,701,930,157.07

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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.