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Finding the Third Proportional to 41,581,977.75 and 64,641,056.91

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Solution

The third proportional to 41,581,977.75 and 64,641,056.91 is: 100,487,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,581,977.75 : 64,641,056.91 = 64,641,056.91 : x
  2. Step 2: Convert to fraction form
    41,581,977.75/64,641,056.91 = 64,641,056.91/x
  3. Step 3: Cross multiply
    41,581,977.75x = 64,641,056.91 × 64,641,056.91
  4. Step 4: Simplify right side
    41,581,977.75x = 4,178,466,237,957,051
  5. Step 5: Solve for x
    x = 4,178,466,237,957,051/41,581,977.75
  6. Step 6: Final answer
    x = 100,487,433.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.