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Finding the Third Proportional to 84,340,568 and 127,409,464

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Solution

The third proportional to 84,340,568 and 127,409,464 is: 192,471,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,340,568 : 127,409,464 = 127,409,464 : x
  2. Step 2: Convert to fraction form
    84,340,568/127,409,464 = 127,409,464/x
  3. Step 3: Cross multiply
    84,340,568x = 127,409,464 × 127,409,464
  4. Step 4: Simplify right side
    84,340,568x = 16,233,171,516,767,296
  5. Step 5: Solve for x
    x = 16,233,171,516,767,296/84,340,568
  6. Step 6: Final answer
    x = 192,471,688.32

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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.