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Finding the Third Proportional to 3,918,240,891 and 8,525,199,510

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Solution

The third proportional to 3,918,240,891 and 8,525,199,510 is: 18,548,891,889.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918,240,891 : 8,525,199,510 = 8,525,199,510 : x
  2. Step 2: Convert to fraction form
    3,918,240,891/8,525,199,510 = 8,525,199,510/x
  3. Step 3: Cross multiply
    3,918,240,891x = 8,525,199,510 × 8,525,199,510
  4. Step 4: Simplify right side
    3,918,240,891x = 72,679,026,685,304,242,176
  5. Step 5: Solve for x
    x = 72,679,026,685,304,242,176/3,918,240,891
  6. Step 6: Final answer
    x = 18,548,891,889.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.