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Finding the Third Proportional to 19,168,599,908,524 and 38,870,588,500,060

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Solution

The third proportional to 19,168,599,908,524 and 38,870,588,500,060 is: 78,822,796,529,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,168,599,908,524 : 38,870,588,500,060 = 38,870,588,500,060 : x
  2. Step 2: Convert to fraction form
    19,168,599,908,524/38,870,588,500,060 = 38,870,588,500,060/x
  3. Step 3: Cross multiply
    19,168,599,908,524x = 38,870,588,500,060 × 38,870,588,500,060
  4. Step 4: Simplify right side
    19,168,599,908,524x = 1,510,922,650,340,996,839,129,481,216
  5. Step 5: Solve for x
    x = 1,510,922,650,340,996,839,129,481,216/19,168,599,908,524
  6. Step 6: Final answer
    x = 78,822,796,529,292.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.