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Finding the Third Proportional to 10,304,593,467 and 22,433,872,862

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Solution

The third proportional to 10,304,593,467 and 22,433,872,862 is: 48,840,223,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304,593,467 : 22,433,872,862 = 22,433,872,862 : x
  2. Step 2: Convert to fraction form
    10,304,593,467/22,433,872,862 = 22,433,872,862/x
  3. Step 3: Cross multiply
    10,304,593,467x = 22,433,872,862 × 22,433,872,862
  4. Step 4: Simplify right side
    10,304,593,467x = 503,278,651,588,380,065,792
  5. Step 5: Solve for x
    x = 503,278,651,588,380,065,792/10,304,593,467
  6. Step 6: Final answer
    x = 48,840,223,847.75

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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.