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Finding the Third Proportional to 4,435,473,141 and 9,543,667,683

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Solution

The third proportional to 4,435,473,141 and 9,543,667,683 is: 20,534,808,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435,473,141 : 9,543,667,683 = 9,543,667,683 : x
  2. Step 2: Convert to fraction form
    4,435,473,141/9,543,667,683 = 9,543,667,683/x
  3. Step 3: Cross multiply
    4,435,473,141x = 9,543,667,683 × 9,543,667,683
  4. Step 4: Simplify right side
    4,435,473,141x = 91,081,592,843,538,595,840
  5. Step 5: Solve for x
    x = 91,081,592,843,538,595,840/4,435,473,141
  6. Step 6: Final answer
    x = 20,534,808,789.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.