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Finding the Third Proportional to 7,674,612,295,856 and 17,065,158,362,588

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Solution

The third proportional to 7,674,612,295,856 and 17,065,158,362,588 is: 37,945,842,566,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674,612,295,856 : 17,065,158,362,588 = 17,065,158,362,588 : x
  2. Step 2: Convert to fraction form
    7,674,612,295,856/17,065,158,362,588 = 17,065,158,362,588/x
  3. Step 3: Cross multiply
    7,674,612,295,856x = 17,065,158,362,588 × 17,065,158,362,588
  4. Step 4: Simplify right side
    7,674,612,295,856x = 291,219,629,940,207,142,926,548,992
  5. Step 5: Solve for x
    x = 291,219,629,940,207,142,926,548,992/7,674,612,295,856
  6. Step 6: Final answer
    x = 37,945,842,566,855.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.