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Finding the Third Proportional to 216,186,839,616 and 464,909,055,138

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Solution

The third proportional to 216,186,839,616 and 464,909,055,138 is: 999,785,324,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,186,839,616 : 464,909,055,138 = 464,909,055,138 : x
  2. Step 2: Convert to fraction form
    216,186,839,616/464,909,055,138 = 464,909,055,138/x
  3. Step 3: Cross multiply
    216,186,839,616x = 464,909,055,138 × 464,909,055,138
  4. Step 4: Simplify right side
    216,186,839,616x = 216,140,429,549,307,923,791,872
  5. Step 5: Solve for x
    x = 216,140,429,549,307,923,791,872/216,186,839,616
  6. Step 6: Final answer
    x = 999,785,324,274.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.