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Finding the Third Proportional to 31,843,312 and 47,714,888

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Solution

The third proportional to 31,843,312 and 47,714,888 is: 71,497,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843,312 : 47,714,888 = 47,714,888 : x
  2. Step 2: Convert to fraction form
    31,843,312/47,714,888 = 47,714,888/x
  3. Step 3: Cross multiply
    31,843,312x = 47,714,888 × 47,714,888
  4. Step 4: Simplify right side
    31,843,312x = 2,276,710,536,852,544
  5. Step 5: Solve for x
    x = 2,276,710,536,852,544/31,843,312
  6. Step 6: Final answer
    x = 71,497,290.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.