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Finding the Third Proportional to 8,736,960 and 13,675,896

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Solution

The third proportional to 8,736,960 and 13,675,896 is: 21,406,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736,960 : 13,675,896 = 13,675,896 : x
  2. Step 2: Convert to fraction form
    8,736,960/13,675,896 = 13,675,896/x
  3. Step 3: Cross multiply
    8,736,960x = 13,675,896 × 13,675,896
  4. Step 4: Simplify right side
    8,736,960x = 187,030,131,402,816
  5. Step 5: Solve for x
    x = 187,030,131,402,816/8,736,960
  6. Step 6: Final answer
    x = 21,406,774.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.