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Finding the Third Proportional to 45,752,382 and 100,572,462

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Solution

The third proportional to 45,752,382 and 100,572,462 is: 221,077,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,752,382 : 100,572,462 = 100,572,462 : x
  2. Step 2: Convert to fraction form
    45,752,382/100,572,462 = 100,572,462/x
  3. Step 3: Cross multiply
    45,752,382x = 100,572,462 × 100,572,462
  4. Step 4: Simplify right side
    45,752,382x = 10,114,820,112,741,444
  5. Step 5: Solve for x
    x = 10,114,820,112,741,444/45,752,382
  6. Step 6: Final answer
    x = 221,077,453.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.