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Finding the Third Proportional to 3,897,362,432 and 5,631,015,680

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Solution

The third proportional to 3,897,362,432 and 5,631,015,680 is: 8,135,845,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,362,432 : 5,631,015,680 = 5,631,015,680 : x
  2. Step 2: Convert to fraction form
    3,897,362,432/5,631,015,680 = 5,631,015,680/x
  3. Step 3: Cross multiply
    3,897,362,432x = 5,631,015,680 × 5,631,015,680
  4. Step 4: Simplify right side
    3,897,362,432x = 31,708,337,588,405,862,400
  5. Step 5: Solve for x
    x = 31,708,337,588,405,862,400/3,897,362,432
  6. Step 6: Final answer
    x = 8,135,845,239.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.