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Finding the Third Proportional to 4,620,431,648 and 10,087,546,982

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Solution

The third proportional to 4,620,431,648 and 10,087,546,982 is: 22,023,614,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620,431,648 : 10,087,546,982 = 10,087,546,982 : x
  2. Step 2: Convert to fraction form
    4,620,431,648/10,087,546,982 = 10,087,546,982/x
  3. Step 3: Cross multiply
    4,620,431,648x = 10,087,546,982 × 10,087,546,982
  4. Step 4: Simplify right side
    4,620,431,648x = 101,758,604,114,057,314,304
  5. Step 5: Solve for x
    x = 101,758,604,114,057,314,304/4,620,431,648
  6. Step 6: Final answer
    x = 22,023,614,213.21

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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.