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Finding the Third Proportional to 217,715,074,862 and 302,715,409,024

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Solution

The third proportional to 217,715,074,862 and 302,715,409,024 is: 420,901,579,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,715,074,862 : 302,715,409,024 = 302,715,409,024 : x
  2. Step 2: Convert to fraction form
    217,715,074,862/302,715,409,024 = 302,715,409,024/x
  3. Step 3: Cross multiply
    217,715,074,862x = 302,715,409,024 × 302,715,409,024
  4. Step 4: Simplify right side
    217,715,074,862x = 91,636,618,860,567,623,368,704
  5. Step 5: Solve for x
    x = 91,636,618,860,567,623,368,704/217,715,074,862
  6. Step 6: Final answer
    x = 420,901,579,363.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.