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Finding the Third Proportional to 10,365,946 and 22,555,028

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Solution

The third proportional to 10,365,946 and 22,555,028 is: 49,076,976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,946 : 22,555,028 = 22,555,028 : x
  2. Step 2: Convert to fraction form
    10,365,946/22,555,028 = 22,555,028/x
  3. Step 3: Cross multiply
    10,365,946x = 22,555,028 × 22,555,028
  4. Step 4: Simplify right side
    10,365,946x = 508,729,288,080,784
  5. Step 5: Solve for x
    x = 508,729,288,080,784/10,365,946
  6. Step 6: Final answer
    x = 49,076,976.48

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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.