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Finding the Third Proportional to 37,456,928,406 and 54,118,793,188

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Solution

The third proportional to 37,456,928,406 and 54,118,793,188 is: 78,192,310,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,456,928,406 : 54,118,793,188 = 54,118,793,188 : x
  2. Step 2: Convert to fraction form
    37,456,928,406/54,118,793,188 = 54,118,793,188/x
  3. Step 3: Cross multiply
    37,456,928,406x = 54,118,793,188 × 54,118,793,188
  4. Step 4: Simplify right side
    37,456,928,406x = 2,928,843,776,125,515,071,488
  5. Step 5: Solve for x
    x = 2,928,843,776,125,515,071,488/37,456,928,406
  6. Step 6: Final answer
    x = 78,192,310,495.39

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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.