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Finding the Third Proportional to 10,221,680 and 21,861,629

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Solution

The third proportional to 10,221,680 and 21,861,629 is: 46,756,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221,680 : 21,861,629 = 21,861,629 : x
  2. Step 2: Convert to fraction form
    10,221,680/21,861,629 = 21,861,629/x
  3. Step 3: Cross multiply
    10,221,680x = 21,861,629 × 21,861,629
  4. Step 4: Simplify right side
    10,221,680x = 477,930,822,533,641
  5. Step 5: Solve for x
    x = 477,930,822,533,641/10,221,680
  6. Step 6: Final answer
    x = 46,756,582.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.