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Finding the Third Proportional to 10,344,834 and 22,480,281

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Solution

The third proportional to 10,344,834 and 22,480,281 is: 48,851,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344,834 : 22,480,281 = 22,480,281 : x
  2. Step 2: Convert to fraction form
    10,344,834/22,480,281 = 22,480,281/x
  3. Step 3: Cross multiply
    10,344,834x = 22,480,281 × 22,480,281
  4. Step 4: Simplify right side
    10,344,834x = 505,363,033,838,961
  5. Step 5: Solve for x
    x = 505,363,033,838,961/10,344,834
  6. Step 6: Final answer
    x = 48,851,729.65

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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.