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Finding the Third Proportional to 6,615,862.31 and 14,331,071.81

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Solution

The third proportional to 6,615,862.31 and 14,331,071.81 is: 31,043,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615,862.31 : 14,331,071.81 = 14,331,071.81 : x
  2. Step 2: Convert to fraction form
    6,615,862.31/14,331,071.81 = 14,331,071.81/x
  3. Step 3: Cross multiply
    6,615,862.31x = 14,331,071.81 × 14,331,071.81
  4. Step 4: Simplify right side
    6,615,862.31x = 205,379,619,295,032.03
  5. Step 5: Solve for x
    x = 205,379,619,295,032.03/6,615,862.31
  6. Step 6: Final answer
    x = 31,043,514.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.