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Finding the Third Proportional to 31,387,726 and 47,993,973

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Solution

The third proportional to 31,387,726 and 47,993,973 is: 73,386,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,387,726 : 47,993,973 = 47,993,973 : x
  2. Step 2: Convert to fraction form
    31,387,726/47,993,973 = 47,993,973/x
  3. Step 3: Cross multiply
    31,387,726x = 47,993,973 × 47,993,973
  4. Step 4: Simplify right side
    31,387,726x = 2,303,421,444,324,729
  5. Step 5: Solve for x
    x = 2,303,421,444,324,729/31,387,726
  6. Step 6: Final answer
    x = 73,386,056.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.