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Finding the Third Proportional to 49,065,157,406 and 106,727,036,620

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Solution

The third proportional to 49,065,157,406 and 106,727,036,620 is: 232,153,751,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,065,157,406 : 106,727,036,620 = 106,727,036,620 : x
  2. Step 2: Convert to fraction form
    49,065,157,406/106,727,036,620 = 106,727,036,620/x
  3. Step 3: Cross multiply
    49,065,157,406x = 106,727,036,620 × 106,727,036,620
  4. Step 4: Simplify right side
    49,065,157,406x = 11,390,660,345,686,820,651,008
  5. Step 5: Solve for x
    x = 11,390,660,345,686,820,651,008/49,065,157,406
  6. Step 6: Final answer
    x = 232,153,751,213.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.