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Finding the Third Proportional to 10,590,966 and 15,872,220

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Solution

The third proportional to 10,590,966 and 15,872,220 is: 23,787,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590,966 : 15,872,220 = 15,872,220 : x
  2. Step 2: Convert to fraction form
    10,590,966/15,872,220 = 15,872,220/x
  3. Step 3: Cross multiply
    10,590,966x = 15,872,220 × 15,872,220
  4. Step 4: Simplify right side
    10,590,966x = 251,927,367,728,400
  5. Step 5: Solve for x
    x = 251,927,367,728,400/10,590,966
  6. Step 6: Final answer
    x = 23,787,005.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.