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Finding the Third Proportional to 3,404,965,035 and 4,792,851,661

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Solution

The third proportional to 3,404,965,035 and 4,792,851,661 is: 6,746,450,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404,965,035 : 4,792,851,661 = 4,792,851,661 : x
  2. Step 2: Convert to fraction form
    3,404,965,035/4,792,851,661 = 4,792,851,661/x
  3. Step 3: Cross multiply
    3,404,965,035x = 4,792,851,661 × 4,792,851,661
  4. Step 4: Simplify right side
    3,404,965,035x = 22,971,427,044,350,459,904
  5. Step 5: Solve for x
    x = 22,971,427,044,350,459,904/3,404,965,035
  6. Step 6: Final answer
    x = 6,746,450,200.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.