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Finding the Third Proportional to 32,029,834.50 and 75,578,627.25

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Solution

The third proportional to 32,029,834.50 and 75,578,627.25 is: 178,337,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029,834.50 : 75,578,627.25 = 75,578,627.25 : x
  2. Step 2: Convert to fraction form
    32,029,834.50/75,578,627.25 = 75,578,627.25/x
  3. Step 3: Cross multiply
    32,029,834.50x = 75,578,627.25 × 75,578,627.25
  4. Step 4: Simplify right side
    32,029,834.50x = 5,712,128,896,994,443
  5. Step 5: Solve for x
    x = 5,712,128,896,994,443/32,029,834.50
  6. Step 6: Final answer
    x = 178,337,758.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.