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Finding the Third Proportional to 2,793,946,824 and 4,656,297,420

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Solution

The third proportional to 2,793,946,824 and 4,656,297,420 is: 7,760,028,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793,946,824 : 4,656,297,420 = 4,656,297,420 : x
  2. Step 2: Convert to fraction form
    2,793,946,824/4,656,297,420 = 4,656,297,420/x
  3. Step 3: Cross multiply
    2,793,946,824x = 4,656,297,420 × 4,656,297,420
  4. Step 4: Simplify right side
    2,793,946,824x = 21,681,105,663,498,657,792
  5. Step 5: Solve for x
    x = 21,681,105,663,498,657,792/2,793,946,824
  6. Step 6: Final answer
    x = 7,760,028,028.19

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.