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Finding the Third Proportional to 7,571,616 and 11,345,712

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Solution

The third proportional to 7,571,616 and 11,345,712 is: 17,001,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571,616 : 11,345,712 = 11,345,712 : x
  2. Step 2: Convert to fraction form
    7,571,616/11,345,712 = 11,345,712/x
  3. Step 3: Cross multiply
    7,571,616x = 11,345,712 × 11,345,712
  4. Step 4: Simplify right side
    7,571,616x = 128,725,180,786,944
  5. Step 5: Solve for x
    x = 128,725,180,786,944/7,571,616
  6. Step 6: Final answer
    x = 17,001,018.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.