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Finding the Third Proportional to 5,265,840,416 and 10,967,531,344

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Solution

The third proportional to 5,265,840,416 and 10,967,531,344 is: 22,842,838,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265,840,416 : 10,967,531,344 = 10,967,531,344 : x
  2. Step 2: Convert to fraction form
    5,265,840,416/10,967,531,344 = 10,967,531,344/x
  3. Step 3: Cross multiply
    5,265,840,416x = 10,967,531,344 × 10,967,531,344
  4. Step 4: Simplify right side
    5,265,840,416x = 120,286,743,781,622,448,128
  5. Step 5: Solve for x
    x = 120,286,743,781,622,448,128/5,265,840,416
  6. Step 6: Final answer
    x = 22,842,838,802.36

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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.