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Finding the Third Proportional to 41,569,776 and 64,523,680

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Solution

The third proportional to 41,569,776 and 64,523,680 is: 100,152,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,569,776 : 64,523,680 = 64,523,680 : x
  2. Step 2: Convert to fraction form
    41,569,776/64,523,680 = 64,523,680/x
  3. Step 3: Cross multiply
    41,569,776x = 64,523,680 × 64,523,680
  4. Step 4: Simplify right side
    41,569,776x = 4,163,305,280,742,400
  5. Step 5: Solve for x
    x = 4,163,305,280,742,400/41,569,776
  6. Step 6: Final answer
    x = 100,152,218.30

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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.