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Finding the Third Proportional to 216,262,074 and 447,853,560

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Solution

The third proportional to 216,262,074 and 447,853,560 is: 927,452,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,262,074 : 447,853,560 = 447,853,560 : x
  2. Step 2: Convert to fraction form
    216,262,074/447,853,560 = 447,853,560/x
  3. Step 3: Cross multiply
    216,262,074x = 447,853,560 × 447,853,560
  4. Step 4: Simplify right side
    216,262,074x = 200,572,811,204,673,600
  5. Step 5: Solve for x
    x = 200,572,811,204,673,600/216,262,074
  6. Step 6: Final answer
    x = 927,452,546.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.