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Finding the Third Proportional to 5,265,840,413 and 10,967,531,341

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Solution

The third proportional to 5,265,840,413 and 10,967,531,341 is: 22,842,838,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265,840,413 : 10,967,531,341 = 10,967,531,341 : x
  2. Step 2: Convert to fraction form
    5,265,840,413/10,967,531,341 = 10,967,531,341/x
  3. Step 3: Cross multiply
    5,265,840,413x = 10,967,531,341 × 10,967,531,341
  4. Step 4: Simplify right side
    5,265,840,413x = 120,286,743,715,817,259,008
  5. Step 5: Solve for x
    x = 120,286,743,715,817,259,008/5,265,840,413
  6. Step 6: Final answer
    x = 22,842,838,802.87

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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.