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Finding the Third Proportional to 23,027,166 and 47,684,700

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Solution

The third proportional to 23,027,166 and 47,684,700 is: 98,745,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027,166 : 47,684,700 = 47,684,700 : x
  2. Step 2: Convert to fraction form
    23,027,166/47,684,700 = 47,684,700/x
  3. Step 3: Cross multiply
    23,027,166x = 47,684,700 × 47,684,700
  4. Step 4: Simplify right side
    23,027,166x = 2,273,830,614,090,000
  5. Step 5: Solve for x
    x = 2,273,830,614,090,000/23,027,166
  6. Step 6: Final answer
    x = 98,745,569.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.