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Finding the Third Proportional to 31,403,434 and 47,403,711

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Solution

The third proportional to 31,403,434 and 47,403,711 is: 71,556,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403,434 : 47,403,711 = 47,403,711 : x
  2. Step 2: Convert to fraction form
    31,403,434/47,403,711 = 47,403,711/x
  3. Step 3: Cross multiply
    31,403,434x = 47,403,711 × 47,403,711
  4. Step 4: Simplify right side
    31,403,434x = 2,247,111,816,571,521
  5. Step 5: Solve for x
    x = 2,247,111,816,571,521/31,403,434
  6. Step 6: Final answer
    x = 71,556,244.98

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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.