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Finding the Third Proportional to 23,722,389 and 48,104,887.50

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Solution

The third proportional to 23,722,389 and 48,104,887.50 is: 97,548,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722,389 : 48,104,887.50 = 48,104,887.50 : x
  2. Step 2: Convert to fraction form
    23,722,389/48,104,887.50 = 48,104,887.50/x
  3. Step 3: Cross multiply
    23,722,389x = 48,104,887.50 × 48,104,887.50
  4. Step 4: Simplify right side
    23,722,389x = 2,314,080,201,387,656
  5. Step 5: Solve for x
    x = 2,314,080,201,387,656/23,722,389
  6. Step 6: Final answer
    x = 97,548,362.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.