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Finding the Third Proportional to 5,696,852,867,732 and 7,686,392,108,512

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Solution

The third proportional to 5,696,852,867,732 and 7,686,392,108,512 is: 10,370,747,677,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696,852,867,732 : 7,686,392,108,512 = 7,686,392,108,512 : x
  2. Step 2: Convert to fraction form
    5,696,852,867,732/7,686,392,108,512 = 7,686,392,108,512/x
  3. Step 3: Cross multiply
    5,696,852,867,732x = 7,686,392,108,512 × 7,686,392,108,512
  4. Step 4: Simplify right side
    5,696,852,867,732x = 59,080,623,645,795,551,667,027,968
  5. Step 5: Solve for x
    x = 59,080,623,645,795,551,667,027,968/5,696,852,867,732
  6. Step 6: Final answer
    x = 10,370,747,677,272.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.