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Finding the Third Proportional to 341,611,777,440 and 711,498,559,392

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Solution

The third proportional to 341,611,777,440 and 711,498,559,392 is: 1,481,887,433,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,611,777,440 : 711,498,559,392 = 711,498,559,392 : x
  2. Step 2: Convert to fraction form
    341,611,777,440/711,498,559,392 = 711,498,559,392/x
  3. Step 3: Cross multiply
    341,611,777,440x = 711,498,559,392 × 711,498,559,392
  4. Step 4: Simplify right side
    341,611,777,440x = 506,230,200,016,891,382,071,296
  5. Step 5: Solve for x
    x = 506,230,200,016,891,382,071,296/341,611,777,440
  6. Step 6: Final answer
    x = 1,481,887,433,186.65

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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.