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Finding the Third Proportional to 10,416,840 and 22,850,661

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Solution

The third proportional to 10,416,840 and 22,850,661 is: 50,125,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416,840 : 22,850,661 = 22,850,661 : x
  2. Step 2: Convert to fraction form
    10,416,840/22,850,661 = 22,850,661/x
  3. Step 3: Cross multiply
    10,416,840x = 22,850,661 × 22,850,661
  4. Step 4: Simplify right side
    10,416,840x = 522,152,708,136,921
  5. Step 5: Solve for x
    x = 522,152,708,136,921/10,416,840
  6. Step 6: Final answer
    x = 50,125,825.89

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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.