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Finding the Third Proportional to 36,910,023 and 80,771,152.50

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Solution

The third proportional to 36,910,023 and 80,771,152.50 is: 176,753,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,910,023 : 80,771,152.50 = 80,771,152.50 : x
  2. Step 2: Convert to fraction form
    36,910,023/80,771,152.50 = 80,771,152.50/x
  3. Step 3: Cross multiply
    36,910,023x = 80,771,152.50 × 80,771,152.50
  4. Step 4: Simplify right side
    36,910,023x = 6,523,979,076,178,256
  5. Step 5: Solve for x
    x = 6,523,979,076,178,256/36,910,023
  6. Step 6: Final answer
    x = 176,753,590.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.