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Finding the Third Proportional to 10,883,544 and 15,732,970.50

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Solution

The third proportional to 10,883,544 and 15,732,970.50 is: 22,743,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883,544 : 15,732,970.50 = 15,732,970.50 : x
  2. Step 2: Convert to fraction form
    10,883,544/15,732,970.50 = 15,732,970.50/x
  3. Step 3: Cross multiply
    10,883,544x = 15,732,970.50 × 15,732,970.50
  4. Step 4: Simplify right side
    10,883,544x = 247,526,360,753,870.25
  5. Step 5: Solve for x
    x = 247,526,360,753,870.25/10,883,544
  6. Step 6: Final answer
    x = 22,743,176.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.