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Finding the Third Proportional to 5,711,134 and 12,464,058.50

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Solution

The third proportional to 5,711,134 and 12,464,058.50 is: 27,201,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711,134 : 12,464,058.50 = 12,464,058.50 : x
  2. Step 2: Convert to fraction form
    5,711,134/12,464,058.50 = 12,464,058.50/x
  3. Step 3: Cross multiply
    5,711,134x = 12,464,058.50 × 12,464,058.50
  4. Step 4: Simplify right side
    5,711,134x = 155,352,754,291,422.25
  5. Step 5: Solve for x
    x = 155,352,754,291,422.25/5,711,134
  6. Step 6: Final answer
    x = 27,201,735.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.