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Finding the Third Proportional to 31,073,510 and 47,042,121

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Solution

The third proportional to 31,073,510 and 47,042,121 is: 71,216,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073,510 : 47,042,121 = 47,042,121 : x
  2. Step 2: Convert to fraction form
    31,073,510/47,042,121 = 47,042,121/x
  3. Step 3: Cross multiply
    31,073,510x = 47,042,121 × 47,042,121
  4. Step 4: Simplify right side
    31,073,510x = 2,212,961,148,178,641
  5. Step 5: Solve for x
    x = 2,212,961,148,178,641/31,073,510
  6. Step 6: Final answer
    x = 71,216,967.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.