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Finding the Third Proportional to 538,436,871 and 1,171,212,822

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Solution

The third proportional to 538,436,871 and 1,171,212,822 is: 2,547,632,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,436,871 : 1,171,212,822 = 1,171,212,822 : x
  2. Step 2: Convert to fraction form
    538,436,871/1,171,212,822 = 1,171,212,822/x
  3. Step 3: Cross multiply
    538,436,871x = 1,171,212,822 × 1,171,212,822
  4. Step 4: Simplify right side
    538,436,871x = 1,371,739,474,417,203,712
  5. Step 5: Solve for x
    x = 1,371,739,474,417,203,712/538,436,871
  6. Step 6: Final answer
    x = 2,547,632,876.38

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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.