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Finding the Third Proportional to 20,740,957.50 and 29,878,048.50

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Solution

The third proportional to 20,740,957.50 and 29,878,048.50 is: 43,040,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,740,957.50 : 29,878,048.50 = 29,878,048.50 : x
  2. Step 2: Convert to fraction form
    20,740,957.50/29,878,048.50 = 29,878,048.50/x
  3. Step 3: Cross multiply
    20,740,957.50x = 29,878,048.50 × 29,878,048.50
  4. Step 4: Simplify right side
    20,740,957.50x = 892,697,782,168,352.25
  5. Step 5: Solve for x
    x = 892,697,782,168,352.25/20,740,957.50
  6. Step 6: Final answer
    x = 43,040,336.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.