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Finding the Third Proportional to 10,365,984 and 22,555,100

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Solution

The third proportional to 10,365,984 and 22,555,100 is: 49,077,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,984 : 22,555,100 = 22,555,100 : x
  2. Step 2: Convert to fraction form
    10,365,984/22,555,100 = 22,555,100/x
  3. Step 3: Cross multiply
    10,365,984x = 22,555,100 × 22,555,100
  4. Step 4: Simplify right side
    10,365,984x = 508,732,536,010,000
  5. Step 5: Solve for x
    x = 508,732,536,010,000/10,365,984
  6. Step 6: Final answer
    x = 49,077,109.90

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