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Finding the Third Proportional to 77,494,587,970 and 121,300,195,732

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Solution

The third proportional to 77,494,587,970 and 121,300,195,732 is: 189,867,936,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,494,587,970 : 121,300,195,732 = 121,300,195,732 : x
  2. Step 2: Convert to fraction form
    77,494,587,970/121,300,195,732 = 121,300,195,732/x
  3. Step 3: Cross multiply
    77,494,587,970x = 121,300,195,732 × 121,300,195,732
  4. Step 4: Simplify right side
    77,494,587,970x = 14,713,737,484,621,511,131,136
  5. Step 5: Solve for x
    x = 14,713,737,484,621,511,131,136/77,494,587,970
  6. Step 6: Final answer
    x = 189,867,936,201.14

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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.