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Finding the Third Proportional to 6,438,567 and 8,713,066.50

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Solution

The third proportional to 6,438,567 and 8,713,066.50 is: 11,791,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438,567 : 8,713,066.50 = 8,713,066.50 : x
  2. Step 2: Convert to fraction form
    6,438,567/8,713,066.50 = 8,713,066.50/x
  3. Step 3: Cross multiply
    6,438,567x = 8,713,066.50 × 8,713,066.50
  4. Step 4: Simplify right side
    6,438,567x = 75,917,527,833,422.25
  5. Step 5: Solve for x
    x = 75,917,527,833,422.25/6,438,567
  6. Step 6: Final answer
    x = 11,791,059.69

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.