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Finding the Third Proportional to 1,216,903,250 and 2,656,801,444

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Solution

The third proportional to 1,216,903,250 and 2,656,801,444 is: 5,800,456,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,903,250 : 2,656,801,444 = 2,656,801,444 : x
  2. Step 2: Convert to fraction form
    1,216,903,250/2,656,801,444 = 2,656,801,444/x
  3. Step 3: Cross multiply
    1,216,903,250x = 2,656,801,444 × 2,656,801,444
  4. Step 4: Simplify right side
    1,216,903,250x = 7,058,593,912,840,484,864
  5. Step 5: Solve for x
    x = 7,058,593,912,840,484,864/1,216,903,250
  6. Step 6: Final answer
    x = 5,800,456,127.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.