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Finding the Third Proportional to 22,973,422.50 and 48,987,868.50

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Solution

The third proportional to 22,973,422.50 and 48,987,868.50 is: 104,460,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,973,422.50 : 48,987,868.50 = 48,987,868.50 : x
  2. Step 2: Convert to fraction form
    22,973,422.50/48,987,868.50 = 48,987,868.50/x
  3. Step 3: Cross multiply
    22,973,422.50x = 48,987,868.50 × 48,987,868.50
  4. Step 4: Simplify right side
    22,973,422.50x = 2,399,811,260,173,292
  5. Step 5: Solve for x
    x = 2,399,811,260,173,292/22,973,422.50
  6. Step 6: Final answer
    x = 104,460,328.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.