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Finding the Third Proportional to 7,911,616 and 16,242,648

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Solution

The third proportional to 7,911,616 and 16,242,648 is: 33,346,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911,616 : 16,242,648 = 16,242,648 : x
  2. Step 2: Convert to fraction form
    7,911,616/16,242,648 = 16,242,648/x
  3. Step 3: Cross multiply
    7,911,616x = 16,242,648 × 16,242,648
  4. Step 4: Simplify right side
    7,911,616x = 263,823,614,051,904
  5. Step 5: Solve for x
    x = 263,823,614,051,904/7,911,616
  6. Step 6: Final answer
    x = 33,346,362.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.