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Finding the Third Proportional to 49,071,622 and 99,752,207

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Solution

The third proportional to 49,071,622 and 99,752,207 is: 202,775,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,071,622 : 99,752,207 = 99,752,207 : x
  2. Step 2: Convert to fraction form
    49,071,622/99,752,207 = 99,752,207/x
  3. Step 3: Cross multiply
    49,071,622x = 99,752,207 × 99,752,207
  4. Step 4: Simplify right side
    49,071,622x = 9,950,502,801,370,848
  5. Step 5: Solve for x
    x = 9,950,502,801,370,848/49,071,622
  6. Step 6: Final answer
    x = 202,775,094.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.