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Finding the Third Proportional to 6,559,688 and 13,538,561

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Solution

The third proportional to 6,559,688 and 13,538,561 is: 27,942,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559,688 : 13,538,561 = 13,538,561 : x
  2. Step 2: Convert to fraction form
    6,559,688/13,538,561 = 13,538,561/x
  3. Step 3: Cross multiply
    6,559,688x = 13,538,561 × 13,538,561
  4. Step 4: Simplify right side
    6,559,688x = 183,292,633,950,721
  5. Step 5: Solve for x
    x = 183,292,633,950,721/6,559,688
  6. Step 6: Final answer
    x = 27,942,279.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.