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Finding the Third Proportional to 121,530,969 and 266,114,007

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Solution

The third proportional to 121,530,969 and 266,114,007 is: 582,704,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,530,969 : 266,114,007 = 266,114,007 : x
  2. Step 2: Convert to fraction form
    121,530,969/266,114,007 = 266,114,007/x
  3. Step 3: Cross multiply
    121,530,969x = 266,114,007 × 266,114,007
  4. Step 4: Simplify right side
    121,530,969x = 70,816,664,721,596,048
  5. Step 5: Solve for x
    x = 70,816,664,721,596,048/121,530,969
  6. Step 6: Final answer
    x = 582,704,682.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.