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Finding the Third Proportional to 2,640,948.75 and 5,565,622.50

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Solution

The third proportional to 2,640,948.75 and 5,565,622.50 is: 11,729,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640,948.75 : 5,565,622.50 = 5,565,622.50 : x
  2. Step 2: Convert to fraction form
    2,640,948.75/5,565,622.50 = 5,565,622.50/x
  3. Step 3: Cross multiply
    2,640,948.75x = 5,565,622.50 × 5,565,622.50
  4. Step 4: Simplify right side
    2,640,948.75x = 30,976,153,812,506.25
  5. Step 5: Solve for x
    x = 30,976,153,812,506.25/2,640,948.75
  6. Step 6: Final answer
    x = 11,729,176.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.