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Finding the Third Proportional to 34,982,709 and 54,872,107.50

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Solution

The third proportional to 34,982,709 and 54,872,107.50 is: 86,069,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,982,709 : 54,872,107.50 = 54,872,107.50 : x
  2. Step 2: Convert to fraction form
    34,982,709/54,872,107.50 = 54,872,107.50/x
  3. Step 3: Cross multiply
    34,982,709x = 54,872,107.50 × 54,872,107.50
  4. Step 4: Simplify right side
    34,982,709x = 3,010,948,181,491,556
  5. Step 5: Solve for x
    x = 3,010,948,181,491,556/34,982,709
  6. Step 6: Final answer
    x = 86,069,611.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.