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Finding the Third Proportional to 21,949,871 and 47,271,069

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Solution

The third proportional to 21,949,871 and 47,271,069 is: 101,802,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,949,871 : 47,271,069 = 47,271,069 : x
  2. Step 2: Convert to fraction form
    21,949,871/47,271,069 = 47,271,069/x
  3. Step 3: Cross multiply
    21,949,871x = 47,271,069 × 47,271,069
  4. Step 4: Simplify right side
    21,949,871x = 2,234,553,964,402,761
  5. Step 5: Solve for x
    x = 2,234,553,964,402,761/21,949,871
  6. Step 6: Final answer
    x = 101,802,601.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.