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Finding the Third Proportional to 733,097,389,850 and 1,578,234,881,518

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Solution

The third proportional to 733,097,389,850 and 1,578,234,881,518 is: 3,397,673,181,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,097,389,850 : 1,578,234,881,518 = 1,578,234,881,518 : x
  2. Step 2: Convert to fraction form
    733,097,389,850/1,578,234,881,518 = 1,578,234,881,518/x
  3. Step 3: Cross multiply
    733,097,389,850x = 1,578,234,881,518 × 1,578,234,881,518
  4. Step 4: Simplify right side
    733,097,389,850x = 2,490,825,341,240,135,682,883,584
  5. Step 5: Solve for x
    x = 2,490,825,341,240,135,682,883,584/733,097,389,850
  6. Step 6: Final answer
    x = 3,397,673,181,935.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.