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Finding the Third Proportional to 483,119,038,716 and 720,489,005,178

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Solution

The third proportional to 483,119,038,716 and 720,489,005,178 is: 1,074,485,509,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,119,038,716 : 720,489,005,178 = 720,489,005,178 : x
  2. Step 2: Convert to fraction form
    483,119,038,716/720,489,005,178 = 720,489,005,178/x
  3. Step 3: Cross multiply
    483,119,038,716x = 720,489,005,178 × 720,489,005,178
  4. Step 4: Simplify right side
    483,119,038,716x = 519,104,406,582,384,113,221,632
  5. Step 5: Solve for x
    x = 519,104,406,582,384,113,221,632/483,119,038,716
  6. Step 6: Final answer
    x = 1,074,485,509,745.22

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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.