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Finding the Third Proportional to 9,423,496 and 20,515,657.50

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Solution

The third proportional to 9,423,496 and 20,515,657.50 is: 44,664,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423,496 : 20,515,657.50 = 20,515,657.50 : x
  2. Step 2: Convert to fraction form
    9,423,496/20,515,657.50 = 20,515,657.50/x
  3. Step 3: Cross multiply
    9,423,496x = 20,515,657.50 × 20,515,657.50
  4. Step 4: Simplify right side
    9,423,496x = 420,892,202,657,306.25
  5. Step 5: Solve for x
    x = 420,892,202,657,306.25/9,423,496
  6. Step 6: Final answer
    x = 44,664,124.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.