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Finding the Third Proportional to 4,158,477,408 and 9,806,757,360

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Solution

The third proportional to 4,158,477,408 and 9,806,757,360 is: 23,126,851,605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158,477,408 : 9,806,757,360 = 9,806,757,360 : x
  2. Step 2: Convert to fraction form
    4,158,477,408/9,806,757,360 = 9,806,757,360/x
  3. Step 3: Cross multiply
    4,158,477,408x = 9,806,757,360 × 9,806,757,360
  4. Step 4: Simplify right side
    4,158,477,408x = 96,172,489,917,914,169,344
  5. Step 5: Solve for x
    x = 96,172,489,917,914,169,344/4,158,477,408
  6. Step 6: Final answer
    x = 23,126,851,605.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.