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Finding the Third Proportional to 657,974,317 and 1,463,062,297.50

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Solution

The third proportional to 657,974,317 and 1,463,062,297.50 is: 3,253,244,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,974,317 : 1,463,062,297.50 = 1,463,062,297.50 : x
  2. Step 2: Convert to fraction form
    657,974,317/1,463,062,297.50 = 1,463,062,297.50/x
  3. Step 3: Cross multiply
    657,974,317x = 1,463,062,297.50 × 1,463,062,297.50
  4. Step 4: Simplify right side
    657,974,317x = 2,140,551,286,365,978,624
  5. Step 5: Solve for x
    x = 2,140,551,286,365,978,624/657,974,317
  6. Step 6: Final answer
    x = 3,253,244,436.84

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.