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Finding the Third Proportional to 15,769,714.50 and 23,055,880.50

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Solution

The third proportional to 15,769,714.50 and 23,055,880.50 is: 33,708,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769,714.50 : 23,055,880.50 = 23,055,880.50 : x
  2. Step 2: Convert to fraction form
    15,769,714.50/23,055,880.50 = 23,055,880.50/x
  3. Step 3: Cross multiply
    15,769,714.50x = 23,055,880.50 × 23,055,880.50
  4. Step 4: Simplify right side
    15,769,714.50x = 531,573,625,630,280.25
  5. Step 5: Solve for x
    x = 531,573,625,630,280.25/15,769,714.50
  6. Step 6: Final answer
    x = 33,708,512.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.