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Finding the Third Proportional to 5,104,729.13 and 7,908,062.06

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Solution

The third proportional to 5,104,729.13 and 7,908,062.06 is: 12,250,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104,729.13 : 7,908,062.06 = 7,908,062.06 : x
  2. Step 2: Convert to fraction form
    5,104,729.13/7,908,062.06 = 7,908,062.06/x
  3. Step 3: Cross multiply
    5,104,729.13x = 7,908,062.06 × 7,908,062.06
  4. Step 4: Simplify right side
    5,104,729.13x = 62,537,445,584,351.75
  5. Step 5: Solve for x
    x = 62,537,445,584,351.75/5,104,729.13
  6. Step 6: Final answer
    x = 12,250,884.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.