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Finding the Third Proportional to 3,688,674,819 and 7,966,305,174

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Solution

The third proportional to 3,688,674,819 and 7,966,305,174 is: 17,204,557,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688,674,819 : 7,966,305,174 = 7,966,305,174 : x
  2. Step 2: Convert to fraction form
    3,688,674,819/7,966,305,174 = 7,966,305,174/x
  3. Step 3: Cross multiply
    3,688,674,819x = 7,966,305,174 × 7,966,305,174
  4. Step 4: Simplify right side
    3,688,674,819x = 63,462,018,125,299,171,328
  5. Step 5: Solve for x
    x = 63,462,018,125,299,171,328/3,688,674,819
  6. Step 6: Final answer
    x = 17,204,557,527.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.