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Finding the Third Proportional to 2,466,374,750.44 and 5,755,073,291.44

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Solution

The third proportional to 2,466,374,750.44 and 5,755,073,291.44 is: 13,428,968,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,374,750.44 : 5,755,073,291.44 = 5,755,073,291.44 : x
  2. Step 2: Convert to fraction form
    2,466,374,750.44/5,755,073,291.44 = 5,755,073,291.44/x
  3. Step 3: Cross multiply
    2,466,374,750.44x = 5,755,073,291.44 × 5,755,073,291.44
  4. Step 4: Simplify right side
    2,466,374,750.44x = 33,120,868,589,817,257,984
  5. Step 5: Solve for x
    x = 33,120,868,589,817,257,984/2,466,374,750.44
  6. Step 6: Final answer
    x = 13,428,968,401.47

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.