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Finding the Third Proportional to 2,540,710,422 and 5,503,517,851.50

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Solution

The third proportional to 2,540,710,422 and 5,503,517,851.50 is: 11,921,354,153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,710,422 : 5,503,517,851.50 = 5,503,517,851.50 : x
  2. Step 2: Convert to fraction form
    2,540,710,422/5,503,517,851.50 = 5,503,517,851.50/x
  3. Step 3: Cross multiply
    2,540,710,422x = 5,503,517,851.50 × 5,503,517,851.50
  4. Step 4: Simplify right side
    2,540,710,422x = 30,288,708,741,779,177,472
  5. Step 5: Solve for x
    x = 30,288,708,741,779,177,472/2,540,710,422
  6. Step 6: Final answer
    x = 11,921,354,153.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.