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Finding the Third Proportional to 37,364,438.25 and 80,869,952.25

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Solution

The third proportional to 37,364,438.25 and 80,869,952.25 is: 175,031,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,364,438.25 : 80,869,952.25 = 80,869,952.25 : x
  2. Step 2: Convert to fraction form
    37,364,438.25/80,869,952.25 = 80,869,952.25/x
  3. Step 3: Cross multiply
    37,364,438.25x = 80,869,952.25 × 80,869,952.25
  4. Step 4: Simplify right side
    37,364,438.25x = 6,539,949,176,917,280
  5. Step 5: Solve for x
    x = 6,539,949,176,917,280/37,364,438.25
  6. Step 6: Final answer
    x = 175,031,379.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.