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Finding the Third Proportional to 10,304,593,473 and 22,433,872,874

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Solution

The third proportional to 10,304,593,473 and 22,433,872,874 is: 48,840,223,871.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304,593,473 : 22,433,872,874 = 22,433,872,874 : x
  2. Step 2: Convert to fraction form
    10,304,593,473/22,433,872,874 = 22,433,872,874/x
  3. Step 3: Cross multiply
    10,304,593,473x = 22,433,872,874 × 22,433,872,874
  4. Step 4: Simplify right side
    10,304,593,473x = 503,278,652,126,793,039,872
  5. Step 5: Solve for x
    x = 503,278,652,126,793,039,872/10,304,593,473
  6. Step 6: Final answer
    x = 48,840,223,871.57

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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.