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Finding the Third Proportional to 9,465,748 and 20,722,650

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Solution

The third proportional to 9,465,748 and 20,722,650 is: 45,366,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465,748 : 20,722,650 = 20,722,650 : x
  2. Step 2: Convert to fraction form
    9,465,748/20,722,650 = 20,722,650/x
  3. Step 3: Cross multiply
    9,465,748x = 20,722,650 × 20,722,650
  4. Step 4: Simplify right side
    9,465,748x = 429,428,223,022,500
  5. Step 5: Solve for x
    x = 429,428,223,022,500/9,465,748
  6. Step 6: Final answer
    x = 45,366,538.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.