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Finding the Third Proportional to 9,210,667,062 and 14,148,711,232.50

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Solution

The third proportional to 9,210,667,062 and 14,148,711,232.50 is: 21,734,151,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210,667,062 : 14,148,711,232.50 = 14,148,711,232.50 : x
  2. Step 2: Convert to fraction form
    9,210,667,062/14,148,711,232.50 = 14,148,711,232.50/x
  3. Step 3: Cross multiply
    9,210,667,062x = 14,148,711,232.50 × 14,148,711,232.50
  4. Step 4: Simplify right side
    9,210,667,062x = 200,186,029,540,671,684,608
  5. Step 5: Solve for x
    x = 200,186,029,540,671,684,608/9,210,667,062
  6. Step 6: Final answer
    x = 21,734,151,087.34

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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.