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Finding the Third Proportional to 467,557,402 and 1,016,498,015

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Solution

The third proportional to 467,557,402 and 1,016,498,015 is: 2,209,928,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,557,402 : 1,016,498,015 = 1,016,498,015 : x
  2. Step 2: Convert to fraction form
    467,557,402/1,016,498,015 = 1,016,498,015/x
  3. Step 3: Cross multiply
    467,557,402x = 1,016,498,015 × 1,016,498,015
  4. Step 4: Simplify right side
    467,557,402x = 1,033,268,214,498,940,288
  5. Step 5: Solve for x
    x = 1,033,268,214,498,940,288/467,557,402
  6. Step 6: Final answer
    x = 2,209,928,043.23

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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.