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Finding the Third Proportional to 4,897,725.75 and 11,437,017.75

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Solution

The third proportional to 4,897,725.75 and 11,437,017.75 is: 26,707,370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897,725.75 : 11,437,017.75 = 11,437,017.75 : x
  2. Step 2: Convert to fraction form
    4,897,725.75/11,437,017.75 = 11,437,017.75/x
  3. Step 3: Cross multiply
    4,897,725.75x = 11,437,017.75 × 11,437,017.75
  4. Step 4: Simplify right side
    4,897,725.75x = 130,805,375,013,815.06
  5. Step 5: Solve for x
    x = 130,805,375,013,815.06/4,897,725.75
  6. Step 6: Final answer
    x = 26,707,370.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.