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Finding the Third Proportional to 9,869,814 and 14,722,560

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Solution

The third proportional to 9,869,814 and 14,722,560 is: 21,961,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869,814 : 14,722,560 = 14,722,560 : x
  2. Step 2: Convert to fraction form
    9,869,814/14,722,560 = 14,722,560/x
  3. Step 3: Cross multiply
    9,869,814x = 14,722,560 × 14,722,560
  4. Step 4: Simplify right side
    9,869,814x = 216,753,772,953,600
  5. Step 5: Solve for x
    x = 216,753,772,953,600/9,869,814
  6. Step 6: Final answer
    x = 21,961,282.45

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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.