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Finding the Third Proportional to 594,031,205.25 and 1,236,948,666.19

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Solution

The third proportional to 594,031,205.25 and 1,236,948,666.19 is: 2,575,692,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,031,205.25 : 1,236,948,666.19 = 1,236,948,666.19 : x
  2. Step 2: Convert to fraction form
    594,031,205.25/1,236,948,666.19 = 1,236,948,666.19/x
  3. Step 3: Cross multiply
    594,031,205.25x = 1,236,948,666.19 × 1,236,948,666.19
  4. Step 4: Simplify right side
    594,031,205.25x = 1,530,042,002,783,035,392
  5. Step 5: Solve for x
    x = 1,530,042,002,783,035,392/594,031,205.25
  6. Step 6: Final answer
    x = 2,575,692,975.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.