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Finding the Third Proportional to 4,776,177 and 10,490,637

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Solution

The third proportional to 4,776,177 and 10,490,637 is: 23,042,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776,177 : 10,490,637 = 10,490,637 : x
  2. Step 2: Convert to fraction form
    4,776,177/10,490,637 = 10,490,637/x
  3. Step 3: Cross multiply
    4,776,177x = 10,490,637 × 10,490,637
  4. Step 4: Simplify right side
    4,776,177x = 110,053,464,665,769
  5. Step 5: Solve for x
    x = 110,053,464,665,769/4,776,177
  6. Step 6: Final answer
    x = 23,042,166.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.