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Finding the Third Proportional to 657,629,064 and 1,431,027,702

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Solution

The third proportional to 657,629,064 and 1,431,027,702 is: 3,113,974,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,629,064 : 1,431,027,702 = 1,431,027,702 : x
  2. Step 2: Convert to fraction form
    657,629,064/1,431,027,702 = 1,431,027,702/x
  3. Step 3: Cross multiply
    657,629,064x = 1,431,027,702 × 1,431,027,702
  4. Step 4: Simplify right side
    657,629,064x = 2,047,840,283,891,400,704
  5. Step 5: Solve for x
    x = 2,047,840,283,891,400,704/657,629,064
  6. Step 6: Final answer
    x = 3,113,974,725.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.