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Finding the Third Proportional to 10,080,144 and 22,119,984

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Solution

The third proportional to 10,080,144 and 22,119,984 is: 48,540,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080,144 : 22,119,984 = 22,119,984 : x
  2. Step 2: Convert to fraction form
    10,080,144/22,119,984 = 22,119,984/x
  3. Step 3: Cross multiply
    10,080,144x = 22,119,984 × 22,119,984
  4. Step 4: Simplify right side
    10,080,144x = 489,293,692,160,256
  5. Step 5: Solve for x
    x = 489,293,692,160,256/10,080,144
  6. Step 6: Final answer
    x = 48,540,347.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.