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Finding the Third Proportional to 2,466,374,750.50 and 5,755,073,292

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Solution

The third proportional to 2,466,374,750.50 and 5,755,073,292 is: 13,428,968,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,374,750.50 : 5,755,073,292 = 5,755,073,292 : x
  2. Step 2: Convert to fraction form
    2,466,374,750.50/5,755,073,292 = 5,755,073,292/x
  3. Step 3: Cross multiply
    2,466,374,750.50x = 5,755,073,292 × 5,755,073,292
  4. Step 4: Simplify right side
    2,466,374,750.50x = 33,120,868,596,291,719,168
  5. Step 5: Solve for x
    x = 33,120,868,596,291,719,168/2,466,374,750.50
  6. Step 6: Final answer
    x = 13,428,968,403.76

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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.