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Finding the Third Proportional to 4,242,496,491 and 8,605,962,513

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Solution

The third proportional to 4,242,496,491 and 8,605,962,513 is: 17,457,313,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242,496,491 : 8,605,962,513 = 8,605,962,513 : x
  2. Step 2: Convert to fraction form
    4,242,496,491/8,605,962,513 = 8,605,962,513/x
  3. Step 3: Cross multiply
    4,242,496,491x = 8,605,962,513 × 8,605,962,513
  4. Step 4: Simplify right side
    4,242,496,491x = 74,062,590,775,161,274,368
  5. Step 5: Solve for x
    x = 74,062,590,775,161,274,368/4,242,496,491
  6. Step 6: Final answer
    x = 17,457,313,384.30

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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.