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Finding the Third Proportional to 5,260,509 and 11,320,001

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Solution

The third proportional to 5,260,509 and 11,320,001 is: 24,359,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260,509 : 11,320,001 = 11,320,001 : x
  2. Step 2: Convert to fraction form
    5,260,509/11,320,001 = 11,320,001/x
  3. Step 3: Cross multiply
    5,260,509x = 11,320,001 × 11,320,001
  4. Step 4: Simplify right side
    5,260,509x = 128,142,422,640,001
  5. Step 5: Solve for x
    x = 128,142,422,640,001/5,260,509
  6. Step 6: Final answer
    x = 24,359,320.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.