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Finding the Third Proportional to 31,448,970 and 47,395,071

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Solution

The third proportional to 31,448,970 and 47,395,071 is: 71,426,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,448,970 : 47,395,071 = 47,395,071 : x
  2. Step 2: Convert to fraction form
    31,448,970/47,395,071 = 47,395,071/x
  3. Step 3: Cross multiply
    31,448,970x = 47,395,071 × 47,395,071
  4. Step 4: Simplify right side
    31,448,970x = 2,246,292,755,095,041
  5. Step 5: Solve for x
    x = 2,246,292,755,095,041/31,448,970
  6. Step 6: Final answer
    x = 71,426,592.19

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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.