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Finding the Third Proportional to 483,119,042,664 and 720,489,012,648

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Solution

The third proportional to 483,119,042,664 and 720,489,012,648 is: 1,074,485,523,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,119,042,664 : 720,489,012,648 = 720,489,012,648 : x
  2. Step 2: Convert to fraction form
    483,119,042,664/720,489,012,648 = 720,489,012,648/x
  3. Step 3: Cross multiply
    483,119,042,664x = 720,489,012,648 × 720,489,012,648
  4. Step 4: Simplify right side
    483,119,042,664x = 519,104,417,346,489,870,712,832
  5. Step 5: Solve for x
    x = 519,104,417,346,489,870,712,832/483,119,042,664
  6. Step 6: Final answer
    x = 1,074,485,523,245.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.