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Finding the Third Proportional to 10,165,678 and 20,872,516

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Solution

The third proportional to 10,165,678 and 20,872,516 is: 42,856,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165,678 : 20,872,516 = 20,872,516 : x
  2. Step 2: Convert to fraction form
    10,165,678/20,872,516 = 20,872,516/x
  3. Step 3: Cross multiply
    10,165,678x = 20,872,516 × 20,872,516
  4. Step 4: Simplify right side
    10,165,678x = 435,661,924,170,256
  5. Step 5: Solve for x
    x = 435,661,924,170,256/10,165,678
  6. Step 6: Final answer
    x = 42,856,160.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.