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Finding the Third Proportional to 37,884,894.75 and 55,410,166.13

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Solution

The third proportional to 37,884,894.75 and 55,410,166.13 is: 81,042,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884,894.75 : 55,410,166.13 = 55,410,166.13 : x
  2. Step 2: Convert to fraction form
    37,884,894.75/55,410,166.13 = 55,410,166.13/x
  3. Step 3: Cross multiply
    37,884,894.75x = 55,410,166.13 × 55,410,166.13
  4. Step 4: Simplify right side
    37,884,894.75x = 3,070,286,510,000,097.50
  5. Step 5: Solve for x
    x = 3,070,286,510,000,097.50/37,884,894.75
  6. Step 6: Final answer
    x = 81,042,498.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.