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Finding the Third Proportional to 10,466,534 and 22,175,864

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Solution

The third proportional to 10,466,534 and 22,175,864 is: 46,984,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466,534 : 22,175,864 = 22,175,864 : x
  2. Step 2: Convert to fraction form
    10,466,534/22,175,864 = 22,175,864/x
  3. Step 3: Cross multiply
    10,466,534x = 22,175,864 × 22,175,864
  4. Step 4: Simplify right side
    10,466,534x = 491,768,944,146,496
  5. Step 5: Solve for x
    x = 491,768,944,146,496/10,466,534
  6. Step 6: Final answer
    x = 46,984,889.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.