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Finding the Third Proportional to 10,304,593,465 and 22,433,872,858

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Solution

The third proportional to 10,304,593,465 and 22,433,872,858 is: 48,840,223,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304,593,465 : 22,433,872,858 = 22,433,872,858 : x
  2. Step 2: Convert to fraction form
    10,304,593,465/22,433,872,858 = 22,433,872,858/x
  3. Step 3: Cross multiply
    10,304,593,465x = 22,433,872,858 × 22,433,872,858
  4. Step 4: Simplify right side
    10,304,593,465x = 503,278,651,408,909,074,432
  5. Step 5: Solve for x
    x = 503,278,651,408,909,074,432/10,304,593,465
  6. Step 6: Final answer
    x = 48,840,223,839.82

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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.