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Finding the Third Proportional to 10,763,064.21 and 16,543,177.07

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Solution

The third proportional to 10,763,064.21 and 16,543,177.07 is: 25,427,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763,064.21 : 16,543,177.07 = 16,543,177.07 : x
  2. Step 2: Convert to fraction form
    10,763,064.21/16,543,177.07 = 16,543,177.07/x
  3. Step 3: Cross multiply
    10,763,064.21x = 16,543,177.07 × 16,543,177.07
  4. Step 4: Simplify right side
    10,763,064.21x = 273,676,707,450,494.53
  5. Step 5: Solve for x
    x = 273,676,707,450,494.53/10,763,064.21
  6. Step 6: Final answer
    x = 25,427,397.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.