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Finding the Third Proportional to 10,455,761 and 22,648,546

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Solution

The third proportional to 10,455,761 and 22,648,546 is: 49,059,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455,761 : 22,648,546 = 22,648,546 : x
  2. Step 2: Convert to fraction form
    10,455,761/22,648,546 = 22,648,546/x
  3. Step 3: Cross multiply
    10,455,761x = 22,648,546 × 22,648,546
  4. Step 4: Simplify right side
    10,455,761x = 512,956,635,914,116
  5. Step 5: Solve for x
    x = 512,956,635,914,116/10,455,761
  6. Step 6: Final answer
    x = 49,059,713.20

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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.