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Finding the Third Proportional to 1,538,702,330 and 3,628,687,661

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Solution

The third proportional to 1,538,702,330 and 3,628,687,661 is: 8,557,453,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,702,330 : 3,628,687,661 = 3,628,687,661 : x
  2. Step 2: Convert to fraction form
    1,538,702,330/3,628,687,661 = 3,628,687,661/x
  3. Step 3: Cross multiply
    1,538,702,330x = 3,628,687,661 × 3,628,687,661
  4. Step 4: Simplify right side
    1,538,702,330x = 13,167,374,141,093,650,432
  5. Step 5: Solve for x
    x = 13,167,374,141,093,650,432/1,538,702,330
  6. Step 6: Final answer
    x = 8,557,453,826.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.