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Finding the Third Proportional to 10,365,952 and 22,555,036

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Solution

The third proportional to 10,365,952 and 22,555,036 is: 49,076,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,952 : 22,555,036 = 22,555,036 : x
  2. Step 2: Convert to fraction form
    10,365,952/22,555,036 = 22,555,036/x
  3. Step 3: Cross multiply
    10,365,952x = 22,555,036 × 22,555,036
  4. Step 4: Simplify right side
    10,365,952x = 508,729,648,961,296
  5. Step 5: Solve for x
    x = 508,729,648,961,296/10,365,952
  6. Step 6: Final answer
    x = 49,076,982.89

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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.