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Finding the Third Proportional to 4,482,788,735.53 and 9,810,036,604.97

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Solution

The third proportional to 4,482,788,735.53 and 9,810,036,604.97 is: 21,468,069,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482,788,735.53 : 9,810,036,604.97 = 9,810,036,604.97 : x
  2. Step 2: Convert to fraction form
    4,482,788,735.53/9,810,036,604.97 = 9,810,036,604.97/x
  3. Step 3: Cross multiply
    4,482,788,735.53x = 9,810,036,604.97 × 9,810,036,604.97
  4. Step 4: Simplify right side
    4,482,788,735.53x = 96,236,818,190,831,697,920
  5. Step 5: Solve for x
    x = 96,236,818,190,831,697,920/4,482,788,735.53
  6. Step 6: Final answer
    x = 21,468,069,067.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.