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Finding the Third Proportional to 27,341,311.50 and 64,541,742.75

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Solution

The third proportional to 27,341,311.50 and 64,541,742.75 is: 152,356,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,341,311.50 : 64,541,742.75 = 64,541,742.75 : x
  2. Step 2: Convert to fraction form
    27,341,311.50/64,541,742.75 = 64,541,742.75/x
  3. Step 3: Cross multiply
    27,341,311.50x = 64,541,742.75 × 64,541,742.75
  4. Step 4: Simplify right side
    27,341,311.50x = 4,165,636,557,207,177.50
  5. Step 5: Solve for x
    x = 4,165,636,557,207,177.50/27,341,311.50
  6. Step 6: Final answer
    x = 152,356,866.90

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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.