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Finding the Third Proportional to 20,380,964 and 31,811,718

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Solution

The third proportional to 20,380,964 and 31,811,718 is: 49,653,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380,964 : 31,811,718 = 31,811,718 : x
  2. Step 2: Convert to fraction form
    20,380,964/31,811,718 = 31,811,718/x
  3. Step 3: Cross multiply
    20,380,964x = 31,811,718 × 31,811,718
  4. Step 4: Simplify right side
    20,380,964x = 1,011,985,402,111,524
  5. Step 5: Solve for x
    x = 1,011,985,402,111,524/20,380,964
  6. Step 6: Final answer
    x = 49,653,461.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.