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Finding the Third Proportional to 339,076,098 and 732,358,692

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Solution

The third proportional to 339,076,098 and 732,358,692 is: 1,581,796,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,076,098 : 732,358,692 = 732,358,692 : x
  2. Step 2: Convert to fraction form
    339,076,098/732,358,692 = 732,358,692/x
  3. Step 3: Cross multiply
    339,076,098x = 732,358,692 × 732,358,692
  4. Step 4: Simplify right side
    339,076,098x = 536,349,253,747,950,848
  5. Step 5: Solve for x
    x = 536,349,253,747,950,848/339,076,098
  6. Step 6: Final answer
    x = 1,581,796,112.77

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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.