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Finding the Third Proportional to 32,920,186.50 and 72,356,721.75

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Solution

The third proportional to 32,920,186.50 and 72,356,721.75 is: 159,036,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920,186.50 : 72,356,721.75 = 72,356,721.75 : x
  2. Step 2: Convert to fraction form
    32,920,186.50/72,356,721.75 = 72,356,721.75/x
  3. Step 3: Cross multiply
    32,920,186.50x = 72,356,721.75 × 72,356,721.75
  4. Step 4: Simplify right side
    32,920,186.50x = 5,235,495,182,406,923
  5. Step 5: Solve for x
    x = 5,235,495,182,406,923/32,920,186.50
  6. Step 6: Final answer
    x = 159,036,012.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.