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Finding the Third Proportional to 2,496,678,952 and 3,672,623,292

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Solution

The third proportional to 2,496,678,952 and 3,672,623,292 is: 5,402,441,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496,678,952 : 3,672,623,292 = 3,672,623,292 : x
  2. Step 2: Convert to fraction form
    2,496,678,952/3,672,623,292 = 3,672,623,292/x
  3. Step 3: Cross multiply
    2,496,678,952x = 3,672,623,292 × 3,672,623,292
  4. Step 4: Simplify right side
    2,496,678,952x = 13,488,161,844,940,916,736
  5. Step 5: Solve for x
    x = 13,488,161,844,940,916,736/2,496,678,952
  6. Step 6: Final answer
    x = 5,402,441,444.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.