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Finding the Third Proportional to 979,717,839,624 and 1,362,219,345,165

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Solution

The third proportional to 979,717,839,624 and 1,362,219,345,165 is: 1,894,057,114,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,717,839,624 : 1,362,219,345,165 = 1,362,219,345,165 : x
  2. Step 2: Convert to fraction form
    979,717,839,624/1,362,219,345,165 = 1,362,219,345,165/x
  3. Step 3: Cross multiply
    979,717,839,624x = 1,362,219,345,165 × 1,362,219,345,165
  4. Step 4: Simplify right side
    979,717,839,624x = 1,855,641,544,341,761,275,461,632
  5. Step 5: Solve for x
    x = 1,855,641,544,341,761,275,461,632/979,717,839,624
  6. Step 6: Final answer
    x = 1,894,057,114,499.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.