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Finding the Third Proportional to 5,304,133,560.38 and 8,839,689,838.31

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Solution

The third proportional to 5,304,133,560.38 and 8,839,689,838.31 is: 14,731,928,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304,133,560.38 : 8,839,689,838.31 = 8,839,689,838.31 : x
  2. Step 2: Convert to fraction form
    5,304,133,560.38/8,839,689,838.31 = 8,839,689,838.31/x
  3. Step 3: Cross multiply
    5,304,133,560.38x = 8,839,689,838.31 × 8,839,689,838.31
  4. Step 4: Simplify right side
    5,304,133,560.38x = 78,140,116,437,565,276,160
  5. Step 5: Solve for x
    x = 78,140,116,437,565,276,160/5,304,133,560.38
  6. Step 6: Final answer
    x = 14,731,928,513.51

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.