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Finding the Third Proportional to 40,816,256 and 61,872,216

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Solution

The third proportional to 40,816,256 and 61,872,216 is: 93,790,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,816,256 : 61,872,216 = 61,872,216 : x
  2. Step 2: Convert to fraction form
    40,816,256/61,872,216 = 61,872,216/x
  3. Step 3: Cross multiply
    40,816,256x = 61,872,216 × 61,872,216
  4. Step 4: Simplify right side
    40,816,256x = 3,828,171,112,750,656
  5. Step 5: Solve for x
    x = 3,828,171,112,750,656/40,816,256
  6. Step 6: Final answer
    x = 93,790,354.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.