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Finding the Third Proportional to 31,064,814 and 48,625,355

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Solution

The third proportional to 31,064,814 and 48,625,355 is: 76,112,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064,814 : 48,625,355 = 48,625,355 : x
  2. Step 2: Convert to fraction form
    31,064,814/48,625,355 = 48,625,355/x
  3. Step 3: Cross multiply
    31,064,814x = 48,625,355 × 48,625,355
  4. Step 4: Simplify right side
    31,064,814x = 2,364,425,148,876,025
  5. Step 5: Solve for x
    x = 2,364,425,148,876,025/31,064,814
  6. Step 6: Final answer
    x = 76,112,644.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.