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Finding the Third Proportional to 14,203,222 and 31,064,211

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Solution

The third proportional to 14,203,222 and 31,064,211 is: 67,941,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203,222 : 31,064,211 = 31,064,211 : x
  2. Step 2: Convert to fraction form
    14,203,222/31,064,211 = 31,064,211/x
  3. Step 3: Cross multiply
    14,203,222x = 31,064,211 × 31,064,211
  4. Step 4: Simplify right side
    14,203,222x = 964,985,205,052,521
  5. Step 5: Solve for x
    x = 964,985,205,052,521/14,203,222
  6. Step 6: Final answer
    x = 67,941,288.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.