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Finding the Third Proportional to 6,316,713 and 9,432,976.50

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Solution

The third proportional to 6,316,713 and 9,432,976.50 is: 14,086,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316,713 : 9,432,976.50 = 9,432,976.50 : x
  2. Step 2: Convert to fraction form
    6,316,713/9,432,976.50 = 9,432,976.50/x
  3. Step 3: Cross multiply
    6,316,713x = 9,432,976.50 × 9,432,976.50
  4. Step 4: Simplify right side
    6,316,713x = 88,981,045,649,552.25
  5. Step 5: Solve for x
    x = 88,981,045,649,552.25/6,316,713
  6. Step 6: Final answer
    x = 14,086,605.75

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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.