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Finding the Third Proportional to 37,456,928,408 and 54,118,793,191

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Solution

The third proportional to 37,456,928,408 and 54,118,793,191 is: 78,192,310,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,456,928,408 : 54,118,793,191 = 54,118,793,191 : x
  2. Step 2: Convert to fraction form
    37,456,928,408/54,118,793,191 = 54,118,793,191/x
  3. Step 3: Cross multiply
    37,456,928,408x = 54,118,793,191 × 54,118,793,191
  4. Step 4: Simplify right side
    37,456,928,408x = 2,928,843,776,450,228,125,696
  5. Step 5: Solve for x
    x = 2,928,843,776,450,228,125,696/37,456,928,408
  6. Step 6: Final answer
    x = 78,192,310,499.88

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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.