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Finding the Third Proportional to 269,213,008,484.25 and 583,100,541,747

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Solution

The third proportional to 269,213,008,484.25 and 583,100,541,747 is: 1,262,963,642,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,213,008,484.25 : 583,100,541,747 = 583,100,541,747 : x
  2. Step 2: Convert to fraction form
    269,213,008,484.25/583,100,541,747 = 583,100,541,747/x
  3. Step 3: Cross multiply
    269,213,008,484.25x = 583,100,541,747 × 583,100,541,747
  4. Step 4: Simplify right side
    269,213,008,484.25x = 340,006,241,785,644,884,951,040
  5. Step 5: Solve for x
    x = 340,006,241,785,644,884,951,040/269,213,008,484.25
  6. Step 6: Final answer
    x = 1,262,963,642,433.11

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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.