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Finding the Third Proportional to 24,276,186 and 52,015,038.47

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Solution

The third proportional to 24,276,186 and 52,015,038.47 is: 111,449,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276,186 : 52,015,038.47 = 52,015,038.47 : x
  2. Step 2: Convert to fraction form
    24,276,186/52,015,038.47 = 52,015,038.47/x
  3. Step 3: Cross multiply
    24,276,186x = 52,015,038.47 × 52,015,038.47
  4. Step 4: Simplify right side
    24,276,186x = 2,705,564,226,905,542.50
  5. Step 5: Solve for x
    x = 2,705,564,226,905,542.50/24,276,186
  6. Step 6: Final answer
    x = 111,449,311.97

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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.