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Finding the Third Proportional to 10,294,624 and 15,097,846

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Solution

The third proportional to 10,294,624 and 15,097,846 is: 22,142,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294,624 : 15,097,846 = 15,097,846 : x
  2. Step 2: Convert to fraction form
    10,294,624/15,097,846 = 15,097,846/x
  3. Step 3: Cross multiply
    10,294,624x = 15,097,846 × 15,097,846
  4. Step 4: Simplify right side
    10,294,624x = 227,944,953,839,716
  5. Step 5: Solve for x
    x = 227,944,953,839,716/10,294,624
  6. Step 6: Final answer
    x = 22,142,134.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.