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Finding the Third Proportional to 9,924,140 and 21,497,631

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Solution

The third proportional to 9,924,140 and 21,497,631 is: 46,568,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924,140 : 21,497,631 = 21,497,631 : x
  2. Step 2: Convert to fraction form
    9,924,140/21,497,631 = 21,497,631/x
  3. Step 3: Cross multiply
    9,924,140x = 21,497,631 × 21,497,631
  4. Step 4: Simplify right side
    9,924,140x = 462,148,138,612,161
  5. Step 5: Solve for x
    x = 462,148,138,612,161/9,924,140
  6. Step 6: Final answer
    x = 46,568,079.31

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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.