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Finding the Third Proportional to 37,370,864 and 80,328,784

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Solution

The third proportional to 37,370,864 and 80,328,784 is: 172,666,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,370,864 : 80,328,784 = 80,328,784 : x
  2. Step 2: Convert to fraction form
    37,370,864/80,328,784 = 80,328,784/x
  3. Step 3: Cross multiply
    37,370,864x = 80,328,784 × 80,328,784
  4. Step 4: Simplify right side
    37,370,864x = 6,452,713,538,918,656
  5. Step 5: Solve for x
    x = 6,452,713,538,918,656/37,370,864
  6. Step 6: Final answer
    x = 172,666,961.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.