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Finding the Third Proportional to 483,119,041,860 and 720,489,009,510

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Solution

The third proportional to 483,119,041,860 and 720,489,009,510 is: 1,074,485,515,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,119,041,860 : 720,489,009,510 = 720,489,009,510 : x
  2. Step 2: Convert to fraction form
    483,119,041,860/720,489,009,510 = 720,489,009,510/x
  3. Step 3: Cross multiply
    483,119,041,860x = 720,489,009,510 × 720,489,009,510
  4. Step 4: Simplify right side
    483,119,041,860x = 519,104,412,824,700,855,517,184
  5. Step 5: Solve for x
    x = 519,104,412,824,700,855,517,184/483,119,041,860
  6. Step 6: Final answer
    x = 1,074,485,515,673.65

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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.