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Finding the Third Proportional to 5,577,498 and 11,824,704

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Solution

The third proportional to 5,577,498 and 11,824,704 is: 25,069,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577,498 : 11,824,704 = 11,824,704 : x
  2. Step 2: Convert to fraction form
    5,577,498/11,824,704 = 11,824,704/x
  3. Step 3: Cross multiply
    5,577,498x = 11,824,704 × 11,824,704
  4. Step 4: Simplify right side
    5,577,498x = 139,823,624,687,616
  5. Step 5: Solve for x
    x = 139,823,624,687,616/5,577,498
  6. Step 6: Final answer
    x = 25,069,237.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.