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Finding the Third Proportional to 6,886,689 and 10,294,047.75

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Solution

The third proportional to 6,886,689 and 10,294,047.75 is: 15,387,281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886,689 : 10,294,047.75 = 10,294,047.75 : x
  2. Step 2: Convert to fraction form
    6,886,689/10,294,047.75 = 10,294,047.75/x
  3. Step 3: Cross multiply
    6,886,689x = 10,294,047.75 × 10,294,047.75
  4. Step 4: Simplify right side
    6,886,689x = 105,967,419,079,280.06
  5. Step 5: Solve for x
    x = 105,967,419,079,280.06/6,886,689
  6. Step 6: Final answer
    x = 15,387,281.04

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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.