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Finding the Third Proportional to 4,242,496,497 and 8,605,962,525

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Solution

The third proportional to 4,242,496,497 and 8,605,962,525 is: 17,457,313,408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242,496,497 : 8,605,962,525 = 8,605,962,525 : x
  2. Step 2: Convert to fraction form
    4,242,496,497/8,605,962,525 = 8,605,962,525/x
  3. Step 3: Cross multiply
    4,242,496,497x = 8,605,962,525 × 8,605,962,525
  4. Step 4: Simplify right side
    4,242,496,497x = 74,062,590,981,704,368,128
  5. Step 5: Solve for x
    x = 74,062,590,981,704,368,128/4,242,496,497
  6. Step 6: Final answer
    x = 17,457,313,408.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.