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Finding the Third Proportional to 5,496,069 and 11,746,887

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Solution

The third proportional to 5,496,069 and 11,746,887 is: 25,106,918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496,069 : 11,746,887 = 11,746,887 : x
  2. Step 2: Convert to fraction form
    5,496,069/11,746,887 = 11,746,887/x
  3. Step 3: Cross multiply
    5,496,069x = 11,746,887 × 11,746,887
  4. Step 4: Simplify right side
    5,496,069x = 137,989,354,190,769
  5. Step 5: Solve for x
    x = 137,989,354,190,769/5,496,069
  6. Step 6: Final answer
    x = 25,106,918.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.