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Finding the Third Proportional to 5,731,177.50 and 8,670,478.50

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Solution

The third proportional to 5,731,177.50 and 8,670,478.50 is: 13,117,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731,177.50 : 8,670,478.50 = 8,670,478.50 : x
  2. Step 2: Convert to fraction form
    5,731,177.50/8,670,478.50 = 8,670,478.50/x
  3. Step 3: Cross multiply
    5,731,177.50x = 8,670,478.50 × 8,670,478.50
  4. Step 4: Simplify right side
    5,731,177.50x = 75,177,197,418,962.25
  5. Step 5: Solve for x
    x = 75,177,197,418,962.25/5,731,177.50
  6. Step 6: Final answer
    x = 13,117,234.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.