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Finding the Third Proportional to 6,773,378.20 and 9,655,570.83

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Solution

The third proportional to 6,773,378.20 and 9,655,570.83 is: 13,764,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773,378.20 : 9,655,570.83 = 9,655,570.83 : x
  2. Step 2: Convert to fraction form
    6,773,378.20/9,655,570.83 = 9,655,570.83/x
  3. Step 3: Cross multiply
    6,773,378.20x = 9,655,570.83 × 9,655,570.83
  4. Step 4: Simplify right side
    6,773,378.20x = 93,230,048,016,938.50
  5. Step 5: Solve for x
    x = 93,230,048,016,938.50/6,773,378.20
  6. Step 6: Final answer
    x = 13,764,187.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.