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Finding the Third Proportional to 21,149,792,358 and 31,640,833,524

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Solution

The third proportional to 21,149,792,358 and 31,640,833,524 is: 47,335,800,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149,792,358 : 31,640,833,524 = 31,640,833,524 : x
  2. Step 2: Convert to fraction form
    21,149,792,358/31,640,833,524 = 31,640,833,524/x
  3. Step 3: Cross multiply
    21,149,792,358x = 31,640,833,524 × 31,640,833,524
  4. Step 4: Simplify right side
    21,149,792,358x = 1,001,142,346,093,482,213,376
  5. Step 5: Solve for x
    x = 1,001,142,346,093,482,213,376/21,149,792,358
  6. Step 6: Final answer
    x = 47,335,800,236.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.