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Finding the Third Proportional to 867,596,052 and 1,321,722,973

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Solution

The third proportional to 867,596,052 and 1,321,722,973 is: 2,013,554,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,596,052 : 1,321,722,973 = 1,321,722,973 : x
  2. Step 2: Convert to fraction form
    867,596,052/1,321,722,973 = 1,321,722,973/x
  3. Step 3: Cross multiply
    867,596,052x = 1,321,722,973 × 1,321,722,973
  4. Step 4: Simplify right side
    867,596,052x = 1,746,951,617,355,958,784
  5. Step 5: Solve for x
    x = 1,746,951,617,355,958,784/867,596,052
  6. Step 6: Final answer
    x = 2,013,554,134.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.