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Finding the Third Proportional to 10,709,097.19 and 16,314,741

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Solution

The third proportional to 10,709,097.19 and 16,314,741 is: 24,854,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709,097.19 : 16,314,741 = 16,314,741 : x
  2. Step 2: Convert to fraction form
    10,709,097.19/16,314,741 = 16,314,741/x
  3. Step 3: Cross multiply
    10,709,097.19x = 16,314,741 × 16,314,741
  4. Step 4: Simplify right side
    10,709,097.19x = 266,170,773,897,081
  5. Step 5: Solve for x
    x = 266,170,773,897,081/10,709,097.19
  6. Step 6: Final answer
    x = 24,854,641.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.