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Finding the Third Proportional to 45,786,768 and 99,805,995

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Solution

The third proportional to 45,786,768 and 99,805,995 is: 217,557,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,786,768 : 99,805,995 = 99,805,995 : x
  2. Step 2: Convert to fraction form
    45,786,768/99,805,995 = 99,805,995/x
  3. Step 3: Cross multiply
    45,786,768x = 99,805,995 × 99,805,995
  4. Step 4: Simplify right side
    45,786,768x = 9,961,236,637,940,024
  5. Step 5: Solve for x
    x = 9,961,236,637,940,024/45,786,768
  6. Step 6: Final answer
    x = 217,557,103.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.