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Finding the Third Proportional to 37,480,951.13 and 83,575,081.13

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Solution

The third proportional to 37,480,951.13 and 83,575,081.13 is: 186,355,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,480,951.13 : 83,575,081.13 = 83,575,081.13 : x
  2. Step 2: Convert to fraction form
    37,480,951.13/83,575,081.13 = 83,575,081.13/x
  3. Step 3: Cross multiply
    37,480,951.13x = 83,575,081.13 × 83,575,081.13
  4. Step 4: Simplify right side
    37,480,951.13x = 6,984,794,185,050,331
  5. Step 5: Solve for x
    x = 6,984,794,185,050,331/37,480,951.13
  6. Step 6: Final answer
    x = 186,355,841.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.