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Finding the Third Proportional to 46,546,677 and 97,917,147

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Solution

The third proportional to 46,546,677 and 97,917,147 is: 205,981,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,546,677 : 97,917,147 = 97,917,147 : x
  2. Step 2: Convert to fraction form
    46,546,677/97,917,147 = 97,917,147/x
  3. Step 3: Cross multiply
    46,546,677x = 97,917,147 × 97,917,147
  4. Step 4: Simplify right side
    46,546,677x = 9,587,767,676,619,608
  5. Step 5: Solve for x
    x = 9,587,767,676,619,608/46,546,677
  6. Step 6: Final answer
    x = 205,981,786.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.