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Finding the Third Proportional to 24,781,722.19 and 51,599,996.72

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Solution

The third proportional to 24,781,722.19 and 51,599,996.72 is: 107,440,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781,722.19 : 51,599,996.72 = 51,599,996.72 : x
  2. Step 2: Convert to fraction form
    24,781,722.19/51,599,996.72 = 51,599,996.72/x
  3. Step 3: Cross multiply
    24,781,722.19x = 51,599,996.72 × 51,599,996.72
  4. Step 4: Simplify right side
    24,781,722.19x = 2,662,559,661,375,011
  5. Step 5: Solve for x
    x = 2,662,559,661,375,011/24,781,722.19
  6. Step 6: Final answer
    x = 107,440,461.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.