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Finding the Third Proportional to 10,365,947 and 22,555,031

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Solution

The third proportional to 10,365,947 and 22,555,031 is: 49,076,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,947 : 22,555,031 = 22,555,031 : x
  2. Step 2: Convert to fraction form
    10,365,947/22,555,031 = 22,555,031/x
  3. Step 3: Cross multiply
    10,365,947x = 22,555,031 × 22,555,031
  4. Step 4: Simplify right side
    10,365,947x = 508,729,423,410,961
  5. Step 5: Solve for x
    x = 508,729,423,410,961/10,365,947
  6. Step 6: Final answer
    x = 49,076,984.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.