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Finding the Third Proportional to 6,577,884 and 13,875,564

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Solution

The third proportional to 6,577,884 and 13,875,564 is: 29,269,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577,884 : 13,875,564 = 13,875,564 : x
  2. Step 2: Convert to fraction form
    6,577,884/13,875,564 = 13,875,564/x
  3. Step 3: Cross multiply
    6,577,884x = 13,875,564 × 13,875,564
  4. Step 4: Simplify right side
    6,577,884x = 192,531,276,318,096
  5. Step 5: Solve for x
    x = 192,531,276,318,096/6,577,884
  6. Step 6: Final answer
    x = 29,269,484.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.