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Finding the Third Proportional to 84,340,548 and 127,409,436

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Solution

The third proportional to 84,340,548 and 127,409,436 is: 192,471,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,340,548 : 127,409,436 = 127,409,436 : x
  2. Step 2: Convert to fraction form
    84,340,548/127,409,436 = 127,409,436/x
  3. Step 3: Cross multiply
    84,340,548x = 127,409,436 × 127,409,436
  4. Step 4: Simplify right side
    84,340,548x = 16,233,164,381,838,096
  5. Step 5: Solve for x
    x = 16,233,164,381,838,096/84,340,548
  6. Step 6: Final answer
    x = 192,471,649.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.