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Finding the Third Proportional to 2,871,015,968 and 4,301,734,251

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Solution

The third proportional to 2,871,015,968 and 4,301,734,251 is: 6,445,424,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871,015,968 : 4,301,734,251 = 4,301,734,251 : x
  2. Step 2: Convert to fraction form
    2,871,015,968/4,301,734,251 = 4,301,734,251/x
  3. Step 3: Cross multiply
    2,871,015,968x = 4,301,734,251 × 4,301,734,251
  4. Step 4: Simplify right side
    2,871,015,968x = 18,504,917,566,226,530,304
  5. Step 5: Solve for x
    x = 18,504,917,566,226,530,304/2,871,015,968
  6. Step 6: Final answer
    x = 6,445,424,815.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.