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Finding the Third Proportional to 4,620,431,644 and 10,087,546,974

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Solution

The third proportional to 4,620,431,644 and 10,087,546,974 is: 22,023,614,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620,431,644 : 10,087,546,974 = 10,087,546,974 : x
  2. Step 2: Convert to fraction form
    4,620,431,644/10,087,546,974 = 10,087,546,974/x
  3. Step 3: Cross multiply
    4,620,431,644x = 10,087,546,974 × 10,087,546,974
  4. Step 4: Simplify right side
    4,620,431,644x = 101,758,603,952,656,564,224
  5. Step 5: Solve for x
    x = 101,758,603,952,656,564,224/4,620,431,644
  6. Step 6: Final answer
    x = 22,023,614,197.34

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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.