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Finding the Third Proportional to 51,054,839,304 and 78,426,484,236

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Solution

The third proportional to 51,054,839,304 and 78,426,484,236 is: 120,472,682,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,054,839,304 : 78,426,484,236 = 78,426,484,236 : x
  2. Step 2: Convert to fraction form
    51,054,839,304/78,426,484,236 = 78,426,484,236/x
  3. Step 3: Cross multiply
    51,054,839,304x = 78,426,484,236 × 78,426,484,236
  4. Step 4: Simplify right side
    51,054,839,304x = 6,150,713,429,619,556,483,072
  5. Step 5: Solve for x
    x = 6,150,713,429,619,556,483,072/51,054,839,304
  6. Step 6: Final answer
    x = 120,472,682,187.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.