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Finding the Third Proportional to 10,434,816 and 13,721,733

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Solution

The third proportional to 10,434,816 and 13,721,733 is: 18,044,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434,816 : 13,721,733 = 13,721,733 : x
  2. Step 2: Convert to fraction form
    10,434,816/13,721,733 = 13,721,733/x
  3. Step 3: Cross multiply
    10,434,816x = 13,721,733 × 13,721,733
  4. Step 4: Simplify right side
    10,434,816x = 188,285,956,523,289
  5. Step 5: Solve for x
    x = 188,285,956,523,289/10,434,816
  6. Step 6: Final answer
    x = 18,044,013.09

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.