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Finding the Third Proportional to 733,097,389,798 and 1,578,234,881,446

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Solution

The third proportional to 733,097,389,798 and 1,578,234,881,446 is: 3,397,673,181,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,097,389,798 : 1,578,234,881,446 = 1,578,234,881,446 : x
  2. Step 2: Convert to fraction form
    733,097,389,798/1,578,234,881,446 = 1,578,234,881,446/x
  3. Step 3: Cross multiply
    733,097,389,798x = 1,578,234,881,446 × 1,578,234,881,446
  4. Step 4: Simplify right side
    733,097,389,798x = 2,490,825,341,012,869,635,899,392
  5. Step 5: Solve for x
    x = 2,490,825,341,012,869,635,899,392/733,097,389,798
  6. Step 6: Final answer
    x = 3,397,673,181,866.33

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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.