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Finding the Third Proportional to 9,291,834 and 20,378,466

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Solution

The third proportional to 9,291,834 and 20,378,466 is: 44,693,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291,834 : 20,378,466 = 20,378,466 : x
  2. Step 2: Convert to fraction form
    9,291,834/20,378,466 = 20,378,466/x
  3. Step 3: Cross multiply
    9,291,834x = 20,378,466 × 20,378,466
  4. Step 4: Simplify right side
    9,291,834x = 415,281,876,513,156
  5. Step 5: Solve for x
    x = 415,281,876,513,156/9,291,834
  6. Step 6: Final answer
    x = 44,693,208.74

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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.