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Finding the Third Proportional to 1,854,837,222 and 4,000,231,605

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Solution

The third proportional to 1,854,837,222 and 4,000,231,605 is: 8,627,092,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,837,222 : 4,000,231,605 = 4,000,231,605 : x
  2. Step 2: Convert to fraction form
    1,854,837,222/4,000,231,605 = 4,000,231,605/x
  3. Step 3: Cross multiply
    1,854,837,222x = 4,000,231,605 × 4,000,231,605
  4. Step 4: Simplify right side
    1,854,837,222x = 16,001,852,893,640,876,032
  5. Step 5: Solve for x
    x = 16,001,852,893,640,876,032/1,854,837,222
  6. Step 6: Final answer
    x = 8,627,092,827.25

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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.