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Finding the Third Proportional to 4,649,427 and 10,032,822

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Solution

The third proportional to 4,649,427 and 10,032,822 is: 21,649,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649,427 : 10,032,822 = 10,032,822 : x
  2. Step 2: Convert to fraction form
    4,649,427/10,032,822 = 10,032,822/x
  3. Step 3: Cross multiply
    4,649,427x = 10,032,822 × 10,032,822
  4. Step 4: Simplify right side
    4,649,427x = 100,657,517,283,684
  5. Step 5: Solve for x
    x = 100,657,517,283,684/4,649,427
  6. Step 6: Final answer
    x = 21,649,445.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.