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Finding the Third Proportional to 9,210,667,059 and 14,148,711,227.25

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Solution

The third proportional to 9,210,667,059 and 14,148,711,227.25 is: 21,734,151,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210,667,059 : 14,148,711,227.25 = 14,148,711,227.25 : x
  2. Step 2: Convert to fraction form
    9,210,667,059/14,148,711,227.25 = 14,148,711,227.25/x
  3. Step 3: Cross multiply
    9,210,667,059x = 14,148,711,227.25 × 14,148,711,227.25
  4. Step 4: Simplify right side
    9,210,667,059x = 200,186,029,392,110,190,592
  5. Step 5: Solve for x
    x = 200,186,029,392,110,190,592/9,210,667,059
  6. Step 6: Final answer
    x = 21,734,151,078.29

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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.