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Finding the Third Proportional to 38,747,294,064 and 60,650,097,984

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Solution

The third proportional to 38,747,294,064 and 60,650,097,984 is: 94,933,968,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,747,294,064 : 60,650,097,984 = 60,650,097,984 : x
  2. Step 2: Convert to fraction form
    38,747,294,064/60,650,097,984 = 60,650,097,984/x
  3. Step 3: Cross multiply
    38,747,294,064x = 60,650,097,984 × 60,650,097,984
  4. Step 4: Simplify right side
    38,747,294,064x = 3,678,434,385,468,800,892,928
  5. Step 5: Solve for x
    x = 3,678,434,385,468,800,892,928/38,747,294,064
  6. Step 6: Final answer
    x = 94,933,968,276.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.