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Finding the Third Proportional to 7,706,603 and 16,769,881

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Solution

The third proportional to 7,706,603 and 16,769,881 is: 36,491,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706,603 : 16,769,881 = 16,769,881 : x
  2. Step 2: Convert to fraction form
    7,706,603/16,769,881 = 16,769,881/x
  3. Step 3: Cross multiply
    7,706,603x = 16,769,881 × 16,769,881
  4. Step 4: Simplify right side
    7,706,603x = 281,228,908,754,161
  5. Step 5: Solve for x
    x = 281,228,908,754,161/7,706,603
  6. Step 6: Final answer
    x = 36,491,941.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.