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Finding the Third Proportional to 4,242,496,495 and 8,605,962,521

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Solution

The third proportional to 4,242,496,495 and 8,605,962,521 is: 17,457,313,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242,496,495 : 8,605,962,521 = 8,605,962,521 : x
  2. Step 2: Convert to fraction form
    4,242,496,495/8,605,962,521 = 8,605,962,521/x
  3. Step 3: Cross multiply
    4,242,496,495x = 8,605,962,521 × 8,605,962,521
  4. Step 4: Simplify right side
    4,242,496,495x = 74,062,590,912,856,670,208
  5. Step 5: Solve for x
    x = 74,062,590,912,856,670,208/4,242,496,495
  6. Step 6: Final answer
    x = 17,457,313,400.29

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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.