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Finding the Third Proportional to 51,663,924 and 112,407,552

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Solution

The third proportional to 51,663,924 and 112,407,552 is: 244,570,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,663,924 : 112,407,552 = 112,407,552 : x
  2. Step 2: Convert to fraction form
    51,663,924/112,407,552 = 112,407,552/x
  3. Step 3: Cross multiply
    51,663,924x = 112,407,552 × 112,407,552
  4. Step 4: Simplify right side
    51,663,924x = 12,635,457,746,632,704
  5. Step 5: Solve for x
    x = 12,635,457,746,632,704/51,663,924
  6. Step 6: Final answer
    x = 244,570,229.44

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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.