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Finding the Third Proportional to 10,148,808.50 and 15,738,740.50

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Solution

The third proportional to 10,148,808.50 and 15,738,740.50 is: 24,407,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148,808.50 : 15,738,740.50 = 15,738,740.50 : x
  2. Step 2: Convert to fraction form
    10,148,808.50/15,738,740.50 = 15,738,740.50/x
  3. Step 3: Cross multiply
    10,148,808.50x = 15,738,740.50 × 15,738,740.50
  4. Step 4: Simplify right side
    10,148,808.50x = 247,707,952,526,340.25
  5. Step 5: Solve for x
    x = 247,707,952,526,340.25/10,148,808.50
  6. Step 6: Final answer
    x = 24,407,589.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.