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Finding the Third Proportional to 1,829,484,393 and 2,468,403,978

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Solution

The third proportional to 1,829,484,393 and 2,468,403,978 is: 3,330,456,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,484,393 : 2,468,403,978 = 2,468,403,978 : x
  2. Step 2: Convert to fraction form
    1,829,484,393/2,468,403,978 = 2,468,403,978/x
  3. Step 3: Cross multiply
    1,829,484,393x = 2,468,403,978 × 2,468,403,978
  4. Step 4: Simplify right side
    1,829,484,393x = 6,093,018,198,606,224,384
  5. Step 5: Solve for x
    x = 6,093,018,198,606,224,384/1,829,484,393
  6. Step 6: Final answer
    x = 3,330,456,505.62

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.