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Finding the Third Proportional to 1,844,376,361 and 2,852,749,877

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Solution

The third proportional to 1,844,376,361 and 2,852,749,877 is: 4,412,430,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844,376,361 : 2,852,749,877 = 2,852,749,877 : x
  2. Step 2: Convert to fraction form
    1,844,376,361/2,852,749,877 = 2,852,749,877/x
  3. Step 3: Cross multiply
    1,844,376,361x = 2,852,749,877 × 2,852,749,877
  4. Step 4: Simplify right side
    1,844,376,361x = 8,138,181,860,723,515,392
  5. Step 5: Solve for x
    x = 8,138,181,860,723,515,392/1,844,376,361
  6. Step 6: Final answer
    x = 4,412,430,148.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.