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Finding the Third Proportional to 45,376,036 and 99,568,616

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Solution

The third proportional to 45,376,036 and 99,568,616 is: 218,483,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,376,036 : 99,568,616 = 99,568,616 : x
  2. Step 2: Convert to fraction form
    45,376,036/99,568,616 = 99,568,616/x
  3. Step 3: Cross multiply
    45,376,036x = 99,568,616 × 99,568,616
  4. Step 4: Simplify right side
    45,376,036x = 9,913,909,292,155,456
  5. Step 5: Solve for x
    x = 9,913,909,292,155,456/45,376,036
  6. Step 6: Final answer
    x = 218,483,370.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.