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Finding the Third Proportional to 6,886,680.75 and 10,294,036.88

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Solution

The third proportional to 6,886,680.75 and 10,294,036.88 is: 15,387,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886,680.75 : 10,294,036.88 = 10,294,036.88 : x
  2. Step 2: Convert to fraction form
    6,886,680.75/10,294,036.88 = 10,294,036.88/x
  3. Step 3: Cross multiply
    6,886,680.75x = 10,294,036.88 × 10,294,036.88
  4. Step 4: Simplify right side
    6,886,680.75x = 105,967,195,183,859.77
  5. Step 5: Solve for x
    x = 105,967,195,183,859.77/6,886,680.75
  6. Step 6: Final answer
    x = 15,387,266.96

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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.