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Finding the Third Proportional to 6,284,071.13 and 9,608,721.19

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Solution

The third proportional to 6,284,071.13 and 9,608,721.19 is: 14,692,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284,071.13 : 9,608,721.19 = 9,608,721.19 : x
  2. Step 2: Convert to fraction form
    6,284,071.13/9,608,721.19 = 9,608,721.19/x
  3. Step 3: Cross multiply
    6,284,071.13x = 9,608,721.19 × 9,608,721.19
  4. Step 4: Simplify right side
    6,284,071.13x = 92,327,522,859,111.41
  5. Step 5: Solve for x
    x = 92,327,522,859,111.41/6,284,071.13
  6. Step 6: Final answer
    x = 14,692,310.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.