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Finding the Third Proportional to 5,304,133,546 and 8,839,689,816

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Solution

The third proportional to 5,304,133,546 and 8,839,689,816 is: 14,731,928,479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304,133,546 : 8,839,689,816 = 8,839,689,816 : x
  2. Step 2: Convert to fraction form
    5,304,133,546/8,839,689,816 = 8,839,689,816/x
  3. Step 3: Cross multiply
    5,304,133,546x = 8,839,689,816 × 8,839,689,816
  4. Step 4: Simplify right side
    5,304,133,546x = 78,140,116,043,094,114,304
  5. Step 5: Solve for x
    x = 78,140,116,043,094,114,304/5,304,133,546
  6. Step 6: Final answer
    x = 14,731,928,479.07

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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.