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Finding the Third Proportional to 11,778,858 and 24,915,802.50

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Solution

The third proportional to 11,778,858 and 24,915,802.50 is: 52,704,363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778,858 : 24,915,802.50 = 24,915,802.50 : x
  2. Step 2: Convert to fraction form
    11,778,858/24,915,802.50 = 24,915,802.50/x
  3. Step 3: Cross multiply
    11,778,858x = 24,915,802.50 × 24,915,802.50
  4. Step 4: Simplify right side
    11,778,858x = 620,797,214,219,006.25
  5. Step 5: Solve for x
    x = 620,797,214,219,006.25/11,778,858
  6. Step 6: Final answer
    x = 52,704,363.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.