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Finding the Third Proportional to 6,843,897.75 and 14,659,301.25

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Solution

The third proportional to 6,843,897.75 and 14,659,301.25 is: 31,399,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843,897.75 : 14,659,301.25 = 14,659,301.25 : x
  2. Step 2: Convert to fraction form
    6,843,897.75/14,659,301.25 = 14,659,301.25/x
  3. Step 3: Cross multiply
    6,843,897.75x = 14,659,301.25 × 14,659,301.25
  4. Step 4: Simplify right side
    6,843,897.75x = 214,895,113,138,251.56
  5. Step 5: Solve for x
    x = 214,895,113,138,251.56/6,843,897.75
  6. Step 6: Final answer
    x = 31,399,521.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.