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Finding the Third Proportional to 2,330,513,876 and 4,993,443,733

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Solution

The third proportional to 2,330,513,876 and 4,993,443,733 is: 10,699,134,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,513,876 : 4,993,443,733 = 4,993,443,733 : x
  2. Step 2: Convert to fraction form
    2,330,513,876/4,993,443,733 = 4,993,443,733/x
  3. Step 3: Cross multiply
    2,330,513,876x = 4,993,443,733 × 4,993,443,733
  4. Step 4: Simplify right side
    2,330,513,876x = 24,934,480,314,636,976,128
  5. Step 5: Solve for x
    x = 24,934,480,314,636,976,128/2,330,513,876
  6. Step 6: Final answer
    x = 10,699,134,028.51

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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.