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Finding the Third Proportional to 11,970,561 and 18,573,325.50

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Solution

The third proportional to 11,970,561 and 18,573,325.50 is: 28,818,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970,561 : 18,573,325.50 = 18,573,325.50 : x
  2. Step 2: Convert to fraction form
    11,970,561/18,573,325.50 = 18,573,325.50/x
  3. Step 3: Cross multiply
    11,970,561x = 18,573,325.50 × 18,573,325.50
  4. Step 4: Simplify right side
    11,970,561x = 344,968,420,128,950.25
  5. Step 5: Solve for x
    x = 344,968,420,128,950.25/11,970,561
  6. Step 6: Final answer
    x = 28,818,066.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.