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Finding the Third Proportional to 37,456,928,421 and 54,118,793,208

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Solution

The third proportional to 37,456,928,421 and 54,118,793,208 is: 78,192,310,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,456,928,421 : 54,118,793,208 = 54,118,793,208 : x
  2. Step 2: Convert to fraction form
    37,456,928,421/54,118,793,208 = 54,118,793,208/x
  3. Step 3: Cross multiply
    37,456,928,421x = 54,118,793,208 × 54,118,793,208
  4. Step 4: Simplify right side
    37,456,928,421x = 2,928,843,778,290,267,193,344
  5. Step 5: Solve for x
    x = 2,928,843,778,290,267,193,344/37,456,928,421
  6. Step 6: Final answer
    x = 78,192,310,521.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.