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Finding the Third Proportional to 43,822,596.75 and 68,386,834.13

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Solution

The third proportional to 43,822,596.75 and 68,386,834.13 is: 106,720,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,822,596.75 : 68,386,834.13 = 68,386,834.13 : x
  2. Step 2: Convert to fraction form
    43,822,596.75/68,386,834.13 = 68,386,834.13/x
  3. Step 3: Cross multiply
    43,822,596.75x = 68,386,834.13 × 68,386,834.13
  4. Step 4: Simplify right side
    43,822,596.75x = 4,676,759,081,640,265
  5. Step 5: Solve for x
    x = 4,676,759,081,640,265/43,822,596.75
  6. Step 6: Final answer
    x = 106,720,263.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.