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Finding the Third Proportional to 10,767,033.38 and 16,549,708.88

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Solution

The third proportional to 10,767,033.38 and 16,549,708.88 is: 25,438,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767,033.38 : 16,549,708.88 = 16,549,708.88 : x
  2. Step 2: Convert to fraction form
    10,767,033.38/16,549,708.88 = 16,549,708.88/x
  3. Step 3: Cross multiply
    10,767,033.38x = 16,549,708.88 × 16,549,708.88
  4. Step 4: Simplify right side
    10,767,033.38x = 273,892,863,847,253.75
  5. Step 5: Solve for x
    x = 273,892,863,847,253.75/10,767,033.38
  6. Step 6: Final answer
    x = 25,438,099.27

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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.