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Finding the Third Proportional to 77,828,410 and 114,400,398

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Solution

The third proportional to 77,828,410 and 114,400,398 is: 168,157,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,828,410 : 114,400,398 = 114,400,398 : x
  2. Step 2: Convert to fraction form
    77,828,410/114,400,398 = 114,400,398/x
  3. Step 3: Cross multiply
    77,828,410x = 114,400,398 × 114,400,398
  4. Step 4: Simplify right side
    77,828,410x = 13,087,451,062,558,404
  5. Step 5: Solve for x
    x = 13,087,451,062,558,404/77,828,410
  6. Step 6: Final answer
    x = 168,157,759.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.