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Finding the Third Proportional to 10,416,834 and 22,850,649

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Solution

The third proportional to 10,416,834 and 22,850,649 is: 50,125,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416,834 : 22,850,649 = 22,850,649 : x
  2. Step 2: Convert to fraction form
    10,416,834/22,850,649 = 22,850,649/x
  3. Step 3: Cross multiply
    10,416,834x = 22,850,649 × 22,850,649
  4. Step 4: Simplify right side
    10,416,834x = 522,152,159,721,201
  5. Step 5: Solve for x
    x = 522,152,159,721,201/10,416,834
  6. Step 6: Final answer
    x = 50,125,802.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.