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Finding the Third Proportional to 2,081,750.63 and 4,818,951.98

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Solution

The third proportional to 2,081,750.63 and 4,818,951.98 is: 11,155,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,750.63 : 4,818,951.98 = 4,818,951.98 : x
  2. Step 2: Convert to fraction form
    2,081,750.63/4,818,951.98 = 4,818,951.98/x
  3. Step 3: Cross multiply
    2,081,750.63x = 4,818,951.98 × 4,818,951.98
  4. Step 4: Simplify right side
    2,081,750.63x = 23,222,298,227,711.75
  5. Step 5: Solve for x
    x = 23,222,298,227,711.75/2,081,750.63
  6. Step 6: Final answer
    x = 11,155,177.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.