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Finding the Third Proportional to 21,677,800 and 31,702,851

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Solution

The third proportional to 21,677,800 and 31,702,851 is: 46,364,057.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677,800 : 31,702,851 = 31,702,851 : x
  2. Step 2: Convert to fraction form
    21,677,800/31,702,851 = 31,702,851/x
  3. Step 3: Cross multiply
    21,677,800x = 31,702,851 × 31,702,851
  4. Step 4: Simplify right side
    21,677,800x = 1,005,070,761,528,201
  5. Step 5: Solve for x
    x = 1,005,070,761,528,201/21,677,800
  6. Step 6: Final answer
    x = 46,364,057.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.