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Finding the Third Proportional to 4,142,457 and 8,860,642

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Solution

The third proportional to 4,142,457 and 8,860,642 is: 18,952,755.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142,457 : 8,860,642 = 8,860,642 : x
  2. Step 2: Convert to fraction form
    4,142,457/8,860,642 = 8,860,642/x
  3. Step 3: Cross multiply
    4,142,457x = 8,860,642 × 8,860,642
  4. Step 4: Simplify right side
    4,142,457x = 78,510,976,652,164
  5. Step 5: Solve for x
    x = 78,510,976,652,164/4,142,457
  6. Step 6: Final answer
    x = 18,952,755.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.