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Finding the Third Proportional to 1,854,837,224 and 4,000,231,609

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Solution

The third proportional to 1,854,837,224 and 4,000,231,609 is: 8,627,092,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,837,224 : 4,000,231,609 = 4,000,231,609 : x
  2. Step 2: Convert to fraction form
    1,854,837,224/4,000,231,609 = 4,000,231,609/x
  3. Step 3: Cross multiply
    1,854,837,224x = 4,000,231,609 × 4,000,231,609
  4. Step 4: Simplify right side
    1,854,837,224x = 16,001,852,925,642,729,472
  5. Step 5: Solve for x
    x = 16,001,852,925,642,729,472/1,854,837,224
  6. Step 6: Final answer
    x = 8,627,092,835.21

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