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Finding the Third Proportional to 5,265,840,420 and 10,967,531,352

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Solution

The third proportional to 5,265,840,420 and 10,967,531,352 is: 22,842,838,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265,840,420 : 10,967,531,352 = 10,967,531,352 : x
  2. Step 2: Convert to fraction form
    5,265,840,420/10,967,531,352 = 10,967,531,352/x
  3. Step 3: Cross multiply
    5,265,840,420x = 10,967,531,352 × 10,967,531,352
  4. Step 4: Simplify right side
    5,265,840,420x = 120,286,743,957,102,952,448
  5. Step 5: Solve for x
    x = 120,286,743,957,102,952,448/5,265,840,420
  6. Step 6: Final answer
    x = 22,842,838,818.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.