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Finding the Third Proportional to 31,229,493.75 and 67,671,297

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Solution

The third proportional to 31,229,493.75 and 67,671,297 is: 146,637,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229,493.75 : 67,671,297 = 67,671,297 : x
  2. Step 2: Convert to fraction form
    31,229,493.75/67,671,297 = 67,671,297/x
  3. Step 3: Cross multiply
    31,229,493.75x = 67,671,297 × 67,671,297
  4. Step 4: Simplify right side
    31,229,493.75x = 4,579,404,437,662,209
  5. Step 5: Solve for x
    x = 4,579,404,437,662,209/31,229,493.75
  6. Step 6: Final answer
    x = 146,637,165.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.