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Finding the Third Proportional to 2,330,513,874 and 4,993,443,729

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Solution

The third proportional to 2,330,513,874 and 4,993,443,729 is: 10,699,134,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,513,874 : 4,993,443,729 = 4,993,443,729 : x
  2. Step 2: Convert to fraction form
    2,330,513,874/4,993,443,729 = 4,993,443,729/x
  3. Step 3: Cross multiply
    2,330,513,874x = 4,993,443,729 × 4,993,443,729
  4. Step 4: Simplify right side
    2,330,513,874x = 24,934,480,274,689,425,408
  5. Step 5: Solve for x
    x = 24,934,480,274,689,425,408/2,330,513,874
  6. Step 6: Final answer
    x = 10,699,134,020.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.