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Finding the Third Proportional to 7,544,120 and 15,436,862

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Solution

The third proportional to 7,544,120 and 15,436,862 is: 31,587,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544,120 : 15,436,862 = 15,436,862 : x
  2. Step 2: Convert to fraction form
    7,544,120/15,436,862 = 15,436,862/x
  3. Step 3: Cross multiply
    7,544,120x = 15,436,862 × 15,436,862
  4. Step 4: Simplify right side
    7,544,120x = 238,296,708,407,044
  5. Step 5: Solve for x
    x = 238,296,708,407,044/7,544,120
  6. Step 6: Final answer
    x = 31,587,078.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.