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Finding the Third Proportional to 7,498,021,098 and 16,124,468,586

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Solution

The third proportional to 7,498,021,098 and 16,124,468,586 is: 34,675,614,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498,021,098 : 16,124,468,586 = 16,124,468,586 : x
  2. Step 2: Convert to fraction form
    7,498,021,098/16,124,468,586 = 16,124,468,586/x
  3. Step 3: Cross multiply
    7,498,021,098x = 16,124,468,586 × 16,124,468,586
  4. Step 4: Simplify right side
    7,498,021,098x = 259,998,487,180,900,827,136
  5. Step 5: Solve for x
    x = 259,998,487,180,900,827,136/7,498,021,098
  6. Step 6: Final answer
    x = 34,675,614,243.10

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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.