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Finding the Third Proportional to 11,581,881.19 and 24,702,701.63

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Solution

The third proportional to 11,581,881.19 and 24,702,701.63 is: 52,687,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581,881.19 : 24,702,701.63 = 24,702,701.63 : x
  2. Step 2: Convert to fraction form
    11,581,881.19/24,702,701.63 = 24,702,701.63/x
  3. Step 3: Cross multiply
    11,581,881.19x = 24,702,701.63 × 24,702,701.63
  4. Step 4: Simplify right side
    11,581,881.19x = 610,223,467,573,777.62
  5. Step 5: Solve for x
    x = 610,223,467,573,777.62/11,581,881.19
  6. Step 6: Final answer
    x = 52,687,767.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.