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Finding the Third Proportional to 27,971,952 and 43,200,120

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Solution

The third proportional to 27,971,952 and 43,200,120 is: 66,718,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971,952 : 43,200,120 = 43,200,120 : x
  2. Step 2: Convert to fraction form
    27,971,952/43,200,120 = 43,200,120/x
  3. Step 3: Cross multiply
    27,971,952x = 43,200,120 × 43,200,120
  4. Step 4: Simplify right side
    27,971,952x = 1,866,250,368,014,400
  5. Step 5: Solve for x
    x = 1,866,250,368,014,400/27,971,952
  6. Step 6: Final answer
    x = 66,718,631.86

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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.