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Finding the Third Proportional to 6,205,032 and 9,534,372

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Solution

The third proportional to 6,205,032 and 9,534,372 is: 14,650,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205,032 : 9,534,372 = 9,534,372 : x
  2. Step 2: Convert to fraction form
    6,205,032/9,534,372 = 9,534,372/x
  3. Step 3: Cross multiply
    6,205,032x = 9,534,372 × 9,534,372
  4. Step 4: Simplify right side
    6,205,032x = 90,904,249,434,384
  5. Step 5: Solve for x
    x = 90,904,249,434,384/6,205,032
  6. Step 6: Final answer
    x = 14,650,085.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.