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Finding the Third Proportional to 2,023,965.98 and 4,777,881.66

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Solution

The third proportional to 2,023,965.98 and 4,777,881.66 is: 11,278,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,965.98 : 4,777,881.66 = 4,777,881.66 : x
  2. Step 2: Convert to fraction form
    2,023,965.98/4,777,881.66 = 4,777,881.66/x
  3. Step 3: Cross multiply
    2,023,965.98x = 4,777,881.66 × 4,777,881.66
  4. Step 4: Simplify right side
    2,023,965.98x = 22,828,153,177,120.32
  5. Step 5: Solve for x
    x = 22,828,153,177,120.32/2,023,965.98
  6. Step 6: Final answer
    x = 11,278,921.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.