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Finding the Third Proportional to 9,869,657.63 and 14,722,337.25

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Solution

The third proportional to 9,869,657.63 and 14,722,337.25 is: 21,960,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869,657.63 : 14,722,337.25 = 14,722,337.25 : x
  2. Step 2: Convert to fraction form
    9,869,657.63/14,722,337.25 = 14,722,337.25/x
  3. Step 3: Cross multiply
    9,869,657.63x = 14,722,337.25 × 14,722,337.25
  4. Step 4: Simplify right side
    9,869,657.63x = 216,747,214,102,737.56
  5. Step 5: Solve for x
    x = 216,747,214,102,737.56/9,869,657.63
  6. Step 6: Final answer
    x = 21,960,965.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.