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Finding the Third Proportional to 2,340,061,408,716 and 4,745,920,015,548

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Solution

The third proportional to 2,340,061,408,716 and 4,745,920,015,548 is: 9,625,284,494,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340,061,408,716 : 4,745,920,015,548 = 4,745,920,015,548 : x
  2. Step 2: Convert to fraction form
    2,340,061,408,716/4,745,920,015,548 = 4,745,920,015,548/x
  3. Step 3: Cross multiply
    2,340,061,408,716x = 4,745,920,015,548 × 4,745,920,015,548
  4. Step 4: Simplify right side
    2,340,061,408,716x = 22,523,756,793,979,130,588,692,480
  5. Step 5: Solve for x
    x = 22,523,756,793,979,130,588,692,480/2,340,061,408,716
  6. Step 6: Final answer
    x = 9,625,284,494,708.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.