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Finding the Third Proportional to 10,222,497,567 and 15,703,007,888.25

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Solution

The third proportional to 10,222,497,567 and 15,703,007,888.25 is: 24,121,742,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222,497,567 : 15,703,007,888.25 = 15,703,007,888.25 : x
  2. Step 2: Convert to fraction form
    10,222,497,567/15,703,007,888.25 = 15,703,007,888.25/x
  3. Step 3: Cross multiply
    10,222,497,567x = 15,703,007,888.25 × 15,703,007,888.25
  4. Step 4: Simplify right side
    10,222,497,567x = 246,584,456,738,441,723,904
  5. Step 5: Solve for x
    x = 246,584,456,738,441,723,904/10,222,497,567
  6. Step 6: Final answer
    x = 24,121,742,766.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.