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Finding the Third Proportional to 24,411,311.75 and 52,220,173.63

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Solution

The third proportional to 24,411,311.75 and 52,220,173.63 is: 111,708,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411,311.75 : 52,220,173.63 = 52,220,173.63 : x
  2. Step 2: Convert to fraction form
    24,411,311.75/52,220,173.63 = 52,220,173.63/x
  3. Step 3: Cross multiply
    24,411,311.75x = 52,220,173.63 × 52,220,173.63
  4. Step 4: Simplify right side
    24,411,311.75x = 2,726,946,533,425,145.50
  5. Step 5: Solve for x
    x = 2,726,946,533,425,145.50/24,411,311.75
  6. Step 6: Final answer
    x = 111,708,316.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.