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Finding the Third Proportional to 7,706,597.63 and 16,769,871

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Solution

The third proportional to 7,706,597.63 and 16,769,871 is: 36,491,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706,597.63 : 16,769,871 = 16,769,871 : x
  2. Step 2: Convert to fraction form
    7,706,597.63/16,769,871 = 16,769,871/x
  3. Step 3: Cross multiply
    7,706,597.63x = 16,769,871 × 16,769,871
  4. Step 4: Simplify right side
    7,706,597.63x = 281,228,573,356,641
  5. Step 5: Solve for x
    x = 281,228,573,356,641/7,706,597.63
  6. Step 6: Final answer
    x = 36,491,923.81

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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.