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Finding the Third Proportional to 52,615,994,684 and 122,774,896,912

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Solution

The third proportional to 52,615,994,684 and 122,774,896,912 is: 286,484,659,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,615,994,684 : 122,774,896,912 = 122,774,896,912 : x
  2. Step 2: Convert to fraction form
    52,615,994,684/122,774,896,912 = 122,774,896,912/x
  3. Step 3: Cross multiply
    52,615,994,684x = 122,774,896,912 × 122,774,896,912
  4. Step 4: Simplify right side
    52,615,994,684x = 15,073,675,311,752,226,537,472
  5. Step 5: Solve for x
    x = 15,073,675,311,752,226,537,472/52,615,994,684
  6. Step 6: Final answer
    x = 286,484,659,318.55

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.