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Finding the Third Proportional to 10,930,870.13 and 16,336,061.44

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Solution

The third proportional to 10,930,870.13 and 16,336,061.44 is: 24,414,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930,870.13 : 16,336,061.44 = 16,336,061.44 : x
  2. Step 2: Convert to fraction form
    10,930,870.13/16,336,061.44 = 16,336,061.44/x
  3. Step 3: Cross multiply
    10,930,870.13x = 16,336,061.44 × 16,336,061.44
  4. Step 4: Simplify right side
    10,930,870.13x = 266,866,903,289,774.56
  5. Step 5: Solve for x
    x = 266,866,903,289,774.56/10,930,870.13
  6. Step 6: Final answer
    x = 24,414,058.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.