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Finding the Third Proportional to 2,279,202,732 and 4,938,812,458

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Solution

The third proportional to 2,279,202,732 and 4,938,812,458 is: 10,701,930,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279,202,732 : 4,938,812,458 = 4,938,812,458 : x
  2. Step 2: Convert to fraction form
    2,279,202,732/4,938,812,458 = 4,938,812,458/x
  3. Step 3: Cross multiply
    2,279,202,732x = 4,938,812,458 × 4,938,812,458
  4. Step 4: Simplify right side
    2,279,202,732x = 24,391,868,495,296,000,000
  5. Step 5: Solve for x
    x = 24,391,868,495,296,000,000/2,279,202,732
  6. Step 6: Final answer
    x = 10,701,930,176.21

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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.