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Finding the Third Proportional to 28,761,165 and 40,454,743.50

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Solution

The third proportional to 28,761,165 and 40,454,743.50 is: 56,902,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,761,165 : 40,454,743.50 = 40,454,743.50 : x
  2. Step 2: Convert to fraction form
    28,761,165/40,454,743.50 = 40,454,743.50/x
  3. Step 3: Cross multiply
    28,761,165x = 40,454,743.50 × 40,454,743.50
  4. Step 4: Simplify right side
    28,761,165x = 1,636,586,271,650,792.25
  5. Step 5: Solve for x
    x = 1,636,586,271,650,792.25/28,761,165
  6. Step 6: Final answer
    x = 56,902,641.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.