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Finding the Third Proportional to 10,767,164.06 and 16,549,876.97

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Solution

The third proportional to 10,767,164.06 and 16,549,876.97 is: 25,438,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767,164.06 : 16,549,876.97 = 16,549,876.97 : x
  2. Step 2: Convert to fraction form
    10,767,164.06/16,549,876.97 = 16,549,876.97/x
  3. Step 3: Cross multiply
    10,767,164.06x = 16,549,876.97 × 16,549,876.97
  4. Step 4: Simplify right side
    10,767,164.06x = 273,898,427,680,761.69
  5. Step 5: Solve for x
    x = 273,898,427,680,761.69/10,767,164.06
  6. Step 6: Final answer
    x = 25,438,307.25

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1.5x scale

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.