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Finding the Third Proportional to 4,435,473,145 and 9,543,667,691

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Solution

The third proportional to 4,435,473,145 and 9,543,667,691 is: 20,534,808,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435,473,145 : 9,543,667,691 = 9,543,667,691 : x
  2. Step 2: Convert to fraction form
    4,435,473,145/9,543,667,691 = 9,543,667,691/x
  3. Step 3: Cross multiply
    4,435,473,145x = 9,543,667,691 × 9,543,667,691
  4. Step 4: Simplify right side
    4,435,473,145x = 91,081,592,996,237,279,232
  5. Step 5: Solve for x
    x = 91,081,592,996,237,279,232/4,435,473,145
  6. Step 6: Final answer
    x = 20,534,808,805.89

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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.