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Finding the Third Proportional to 3,699,563,656 and 8,632,613,458

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Solution

The third proportional to 3,699,563,656 and 8,632,613,458 is: 20,143,460,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,563,656 : 8,632,613,458 = 8,632,613,458 : x
  2. Step 2: Convert to fraction form
    3,699,563,656/8,632,613,458 = 8,632,613,458/x
  3. Step 3: Cross multiply
    3,699,563,656x = 8,632,613,458 × 8,632,613,458
  4. Step 4: Simplify right side
    3,699,563,656x = 74,522,015,115,242,717,184
  5. Step 5: Solve for x
    x = 74,522,015,115,242,717,184/3,699,563,656
  6. Step 6: Final answer
    x = 20,143,460,700.93

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.