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Finding the Third Proportional to 467,557,461 and 1,016,498,142

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Solution

The third proportional to 467,557,461 and 1,016,498,142 is: 2,209,928,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,557,461 : 1,016,498,142 = 1,016,498,142 : x
  2. Step 2: Convert to fraction form
    467,557,461/1,016,498,142 = 1,016,498,142/x
  3. Step 3: Cross multiply
    467,557,461x = 1,016,498,142 × 1,016,498,142
  4. Step 4: Simplify right side
    467,557,461x = 1,033,268,472,689,452,160
  5. Step 5: Solve for x
    x = 1,033,268,472,689,452,160/467,557,461
  6. Step 6: Final answer
    x = 2,209,928,316.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.