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Finding the Third Proportional to 4,107,534 and 9,159,519

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Solution

The third proportional to 4,107,534 and 9,159,519 is: 20,425,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,534 : 9,159,519 = 9,159,519 : x
  2. Step 2: Convert to fraction form
    4,107,534/9,159,519 = 9,159,519/x
  3. Step 3: Cross multiply
    4,107,534x = 9,159,519 × 9,159,519
  4. Step 4: Simplify right side
    4,107,534x = 83,896,788,311,361
  5. Step 5: Solve for x
    x = 83,896,788,311,361/4,107,534
  6. Step 6: Final answer
    x = 20,425,098.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.