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Finding the Third Proportional to 31,364,184.66 and 67,940,127

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Solution

The third proportional to 31,364,184.66 and 67,940,127 is: 147,169,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,364,184.66 : 67,940,127 = 67,940,127 : x
  2. Step 2: Convert to fraction form
    31,364,184.66/67,940,127 = 67,940,127/x
  3. Step 3: Cross multiply
    31,364,184.66x = 67,940,127 × 67,940,127
  4. Step 4: Simplify right side
    31,364,184.66x = 4,615,860,856,776,129
  5. Step 5: Solve for x
    x = 4,615,860,856,776,129/31,364,184.66
  6. Step 6: Final answer
    x = 147,169,802.35

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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.