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Finding the Third Proportional to 7,692,058 and 16,812,956

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Solution

The third proportional to 7,692,058 and 16,812,956 is: 36,749,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692,058 : 16,812,956 = 16,812,956 : x
  2. Step 2: Convert to fraction form
    7,692,058/16,812,956 = 16,812,956/x
  3. Step 3: Cross multiply
    7,692,058x = 16,812,956 × 16,812,956
  4. Step 4: Simplify right side
    7,692,058x = 282,675,489,457,936
  5. Step 5: Solve for x
    x = 282,675,489,457,936/7,692,058
  6. Step 6: Final answer
    x = 36,749,006.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.