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Finding the Third Proportional to 5,413,708 and 7,616,982

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Solution

The third proportional to 5,413,708 and 7,616,982 is: 10,716,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413,708 : 7,616,982 = 7,616,982 : x
  2. Step 2: Convert to fraction form
    5,413,708/7,616,982 = 7,616,982/x
  3. Step 3: Cross multiply
    5,413,708x = 7,616,982 × 7,616,982
  4. Step 4: Simplify right side
    5,413,708x = 58,018,414,788,324
  5. Step 5: Solve for x
    x = 58,018,414,788,324/5,413,708
  6. Step 6: Final answer
    x = 10,716,945.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.