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Finding the Third Proportional to 10,577,743.50 and 22,916,175

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Solution

The third proportional to 10,577,743.50 and 22,916,175 is: 49,646,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577,743.50 : 22,916,175 = 22,916,175 : x
  2. Step 2: Convert to fraction form
    10,577,743.50/22,916,175 = 22,916,175/x
  3. Step 3: Cross multiply
    10,577,743.50x = 22,916,175 × 22,916,175
  4. Step 4: Simplify right side
    10,577,743.50x = 525,151,076,630,625
  5. Step 5: Solve for x
    x = 525,151,076,630,625/10,577,743.50
  6. Step 6: Final answer
    x = 49,646,796.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.