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Finding the Third Proportional to 3,638,781,577.50 and 5,589,613,668

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Solution

The third proportional to 3,638,781,577.50 and 5,589,613,668 is: 8,586,330,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638,781,577.50 : 5,589,613,668 = 5,589,613,668 : x
  2. Step 2: Convert to fraction form
    3,638,781,577.50/5,589,613,668 = 5,589,613,668/x
  3. Step 3: Cross multiply
    3,638,781,577.50x = 5,589,613,668 × 5,589,613,668
  4. Step 4: Simplify right side
    3,638,781,577.50x = 31,243,780,957,492,412,416
  5. Step 5: Solve for x
    x = 31,243,780,957,492,412,416/3,638,781,577.50
  6. Step 6: Final answer
    x = 8,586,330,421.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.