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Finding the Third Proportional to 341,611,817,808 and 711,498,644,029

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Solution

The third proportional to 341,611,817,808 and 711,498,644,029 is: 1,481,887,610,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,611,817,808 : 711,498,644,029 = 711,498,644,029 : x
  2. Step 2: Convert to fraction form
    341,611,817,808/711,498,644,029 = 711,498,644,029/x
  3. Step 3: Cross multiply
    341,611,817,808x = 711,498,644,029 × 711,498,644,029
  4. Step 4: Simplify right side
    341,611,817,808x = 506,230,320,455,105,669,758,976
  5. Step 5: Solve for x
    x = 506,230,320,455,105,669,758,976/341,611,817,808
  6. Step 6: Final answer
    x = 1,481,887,610,631.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.