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Finding the Third Proportional to 14,301,852.33 and 31,277,517.19

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Solution

The third proportional to 14,301,852.33 and 31,277,517.19 is: 68,402,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301,852.33 : 31,277,517.19 = 31,277,517.19 : x
  2. Step 2: Convert to fraction form
    14,301,852.33/31,277,517.19 = 31,277,517.19/x
  3. Step 3: Cross multiply
    14,301,852.33x = 31,277,517.19 × 31,277,517.19
  4. Step 4: Simplify right side
    14,301,852.33x = 978,283,081,414,357.88
  5. Step 5: Solve for x
    x = 978,283,081,414,357.88/14,301,852.33
  6. Step 6: Final answer
    x = 68,402,543.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.