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Finding the Third Proportional to 9,982,116 and 20,436,259.50

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Solution

The third proportional to 9,982,116 and 20,436,259.50 is: 41,838,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,116 : 20,436,259.50 = 20,436,259.50 : x
  2. Step 2: Convert to fraction form
    9,982,116/20,436,259.50 = 20,436,259.50/x
  3. Step 3: Cross multiply
    9,982,116x = 20,436,259.50 × 20,436,259.50
  4. Step 4: Simplify right side
    9,982,116x = 417,640,702,351,340.25
  5. Step 5: Solve for x
    x = 417,640,702,351,340.25/9,982,116
  6. Step 6: Final answer
    x = 41,838,894.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.