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Finding the Third Proportional to 31,282,422 and 65,425,008

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Solution

The third proportional to 31,282,422 and 65,425,008 is: 136,831,849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282,422 : 65,425,008 = 65,425,008 : x
  2. Step 2: Convert to fraction form
    31,282,422/65,425,008 = 65,425,008/x
  3. Step 3: Cross multiply
    31,282,422x = 65,425,008 × 65,425,008
  4. Step 4: Simplify right side
    31,282,422x = 4,280,431,671,800,064
  5. Step 5: Solve for x
    x = 4,280,431,671,800,064/31,282,422
  6. Step 6: Final answer
    x = 136,831,849.91

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.