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Finding the Third Proportional to 3,991,005.75 and 6,166,036.50

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Solution

The third proportional to 3,991,005.75 and 6,166,036.50 is: 9,526,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991,005.75 : 6,166,036.50 = 6,166,036.50 : x
  2. Step 2: Convert to fraction form
    3,991,005.75/6,166,036.50 = 6,166,036.50/x
  3. Step 3: Cross multiply
    3,991,005.75x = 6,166,036.50 × 6,166,036.50
  4. Step 4: Simplify right side
    3,991,005.75x = 38,020,006,119,332.25
  5. Step 5: Solve for x
    x = 38,020,006,119,332.25/3,991,005.75
  6. Step 6: Final answer
    x = 9,526,422.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.