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Finding the Third Proportional to 11,574,883.50 and 24,687,046.50

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Solution

The third proportional to 11,574,883.50 and 24,687,046.50 is: 52,652,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574,883.50 : 24,687,046.50 = 24,687,046.50 : x
  2. Step 2: Convert to fraction form
    11,574,883.50/24,687,046.50 = 24,687,046.50/x
  3. Step 3: Cross multiply
    11,574,883.50x = 24,687,046.50 × 24,687,046.50
  4. Step 4: Simplify right side
    11,574,883.50x = 609,450,264,893,162.25
  5. Step 5: Solve for x
    x = 609,450,264,893,162.25/11,574,883.50
  6. Step 6: Final answer
    x = 52,652,820.64

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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.