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Finding the Third Proportional to 5,846,853.38 and 9,100,729.69

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Solution

The third proportional to 5,846,853.38 and 9,100,729.69 is: 14,165,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846,853.38 : 9,100,729.69 = 9,100,729.69 : x
  2. Step 2: Convert to fraction form
    5,846,853.38/9,100,729.69 = 9,100,729.69/x
  3. Step 3: Cross multiply
    5,846,853.38x = 9,100,729.69 × 9,100,729.69
  4. Step 4: Simplify right side
    5,846,853.38x = 82,823,280,844,943.84
  5. Step 5: Solve for x
    x = 82,823,280,844,943.84/5,846,853.38
  6. Step 6: Final answer
    x = 14,165,445.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.