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Finding the Third Proportional to 3,205,194,534 and 7,062,476,400

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Solution

The third proportional to 3,205,194,534 and 7,062,476,400 is: 15,561,792,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,194,534 : 7,062,476,400 = 7,062,476,400 : x
  2. Step 2: Convert to fraction form
    3,205,194,534/7,062,476,400 = 7,062,476,400/x
  3. Step 3: Cross multiply
    3,205,194,534x = 7,062,476,400 × 7,062,476,400
  4. Step 4: Simplify right side
    3,205,194,534x = 49,878,572,900,556,963,840
  5. Step 5: Solve for x
    x = 49,878,572,900,556,963,840/3,205,194,534
  6. Step 6: Final answer
    x = 15,561,792,699.77

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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.