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Finding the Third Proportional to 77,494,587,994 and 121,300,195,756

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Solution

The third proportional to 77,494,587,994 and 121,300,195,756 is: 189,867,936,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,494,587,994 : 121,300,195,756 = 121,300,195,756 : x
  2. Step 2: Convert to fraction form
    77,494,587,994/121,300,195,756 = 121,300,195,756/x
  3. Step 3: Cross multiply
    77,494,587,994x = 121,300,195,756 × 121,300,195,756
  4. Step 4: Simplify right side
    77,494,587,994x = 14,713,737,490,443,920,211,968
  5. Step 5: Solve for x
    x = 14,713,737,490,443,920,211,968/77,494,587,994
  6. Step 6: Final answer
    x = 189,867,936,217.47

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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.