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Finding the Third Proportional to 6,735,156.96 and 14,404,214.18

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Solution

The third proportional to 6,735,156.96 and 14,404,214.18 is: 30,805,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735,156.96 : 14,404,214.18 = 14,404,214.18 : x
  2. Step 2: Convert to fraction form
    6,735,156.96/14,404,214.18 = 14,404,214.18/x
  3. Step 3: Cross multiply
    6,735,156.96x = 14,404,214.18 × 14,404,214.18
  4. Step 4: Simplify right side
    6,735,156.96x = 207,481,386,134,324.81
  5. Step 5: Solve for x
    x = 207,481,386,134,324.81/6,735,156.96
  6. Step 6: Final answer
    x = 30,805,723.96

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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.