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Finding the Third Proportional to 11,062,175,884 and 24,330,832,523

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Solution

The third proportional to 11,062,175,884 and 24,330,832,523 is: 53,514,735,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,062,175,884 : 24,330,832,523 = 24,330,832,523 : x
  2. Step 2: Convert to fraction form
    11,062,175,884/24,330,832,523 = 24,330,832,523/x
  3. Step 3: Cross multiply
    11,062,175,884x = 24,330,832,523 × 24,330,832,523
  4. Step 4: Simplify right side
    11,062,175,884x = 591,989,411,262,274,600,960
  5. Step 5: Solve for x
    x = 591,989,411,262,274,600,960/11,062,175,884
  6. Step 6: Final answer
    x = 53,514,735,027.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.