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Finding the Third Proportional to 3,709,674,446 and 8,000,463,214

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Solution

The third proportional to 3,709,674,446 and 8,000,463,214 is: 17,254,185,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709,674,446 : 8,000,463,214 = 8,000,463,214 : x
  2. Step 2: Convert to fraction form
    3,709,674,446/8,000,463,214 = 8,000,463,214/x
  3. Step 3: Cross multiply
    3,709,674,446x = 8,000,463,214 × 8,000,463,214
  4. Step 4: Simplify right side
    3,709,674,446x = 64,007,411,638,567,206,912
  5. Step 5: Solve for x
    x = 64,007,411,638,567,206,912/3,709,674,446
  6. Step 6: Final answer
    x = 17,254,185,662.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.