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Finding the Third Proportional to 35,117,982 and 54,046,521

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Solution

The third proportional to 35,117,982 and 54,046,521 is: 83,177,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,117,982 : 54,046,521 = 54,046,521 : x
  2. Step 2: Convert to fraction form
    35,117,982/54,046,521 = 54,046,521/x
  3. Step 3: Cross multiply
    35,117,982x = 54,046,521 × 54,046,521
  4. Step 4: Simplify right side
    35,117,982x = 2,921,026,432,203,441
  5. Step 5: Solve for x
    x = 2,921,026,432,203,441/35,117,982
  6. Step 6: Final answer
    x = 83,177,513.79

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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.