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Finding the Third Proportional to 5,234,166 and 7,877,457

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Solution

The third proportional to 5,234,166 and 7,877,457 is: 11,855,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234,166 : 7,877,457 = 7,877,457 : x
  2. Step 2: Convert to fraction form
    5,234,166/7,877,457 = 7,877,457/x
  3. Step 3: Cross multiply
    5,234,166x = 7,877,457 × 7,877,457
  4. Step 4: Simplify right side
    5,234,166x = 62,054,328,786,849
  5. Step 5: Solve for x
    x = 62,054,328,786,849/5,234,166
  6. Step 6: Final answer
    x = 11,855,628.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.