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Finding the Third Proportional to 2,976,109,800 and 4,900,476,060

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Solution

The third proportional to 2,976,109,800 and 4,900,476,060 is: 8,069,146,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,109,800 : 4,900,476,060 = 4,900,476,060 : x
  2. Step 2: Convert to fraction form
    2,976,109,800/4,900,476,060 = 4,900,476,060/x
  3. Step 3: Cross multiply
    2,976,109,800x = 4,900,476,060 × 4,900,476,060
  4. Step 4: Simplify right side
    2,976,109,800x = 24,014,665,614,633,123,840
  5. Step 5: Solve for x
    x = 24,014,665,614,633,123,840/2,976,109,800
  6. Step 6: Final answer
    x = 8,069,146,378.48

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.