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Finding the Third Proportional to 3,875,379.75 and 9,051,754.50

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Solution

The third proportional to 3,875,379.75 and 9,051,754.50 is: 21,142,253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875,379.75 : 9,051,754.50 = 9,051,754.50 : x
  2. Step 2: Convert to fraction form
    3,875,379.75/9,051,754.50 = 9,051,754.50/x
  3. Step 3: Cross multiply
    3,875,379.75x = 9,051,754.50 × 9,051,754.50
  4. Step 4: Simplify right side
    3,875,379.75x = 81,934,259,528,270.25
  5. Step 5: Solve for x
    x = 81,934,259,528,270.25/3,875,379.75
  6. Step 6: Final answer
    x = 21,142,253.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.