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Finding the Third Proportional to 733,097,389,778 and 1,578,234,881,410.20

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Solution

The third proportional to 733,097,389,778 and 1,578,234,881,410.20 is: 3,397,673,181,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,097,389,778 : 1,578,234,881,410.20 = 1,578,234,881,410.20 : x
  2. Step 2: Convert to fraction form
    733,097,389,778/1,578,234,881,410.20 = 1,578,234,881,410.20/x
  3. Step 3: Cross multiply
    733,097,389,778x = 1,578,234,881,410.20 × 1,578,234,881,410.20
  4. Step 4: Simplify right side
    733,097,389,778x = 2,490,825,340,899,867,972,599,808
  5. Step 5: Solve for x
    x = 2,490,825,340,899,867,972,599,808/733,097,389,778
  6. Step 6: Final answer
    x = 3,397,673,181,804.88

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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.