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Finding the Third Proportional to 5,775,792,871.50 and 12,658,843,080

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Solution

The third proportional to 5,775,792,871.50 and 12,658,843,080 is: 27,744,469,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775,792,871.50 : 12,658,843,080 = 12,658,843,080 : x
  2. Step 2: Convert to fraction form
    5,775,792,871.50/12,658,843,080 = 12,658,843,080/x
  3. Step 3: Cross multiply
    5,775,792,871.50x = 12,658,843,080 × 12,658,843,080
  4. Step 4: Simplify right side
    5,775,792,871.50x = 160,246,308,124,063,891,456
  5. Step 5: Solve for x
    x = 160,246,308,124,063,891,456/5,775,792,871.50
  6. Step 6: Final answer
    x = 27,744,469,320.36

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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.