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Finding the Third Proportional to 10,357,749 and 24,192,400.50

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Solution

The third proportional to 10,357,749 and 24,192,400.50 is: 56,505,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357,749 : 24,192,400.50 = 24,192,400.50 : x
  2. Step 2: Convert to fraction form
    10,357,749/24,192,400.50 = 24,192,400.50/x
  3. Step 3: Cross multiply
    10,357,749x = 24,192,400.50 × 24,192,400.50
  4. Step 4: Simplify right side
    10,357,749x = 585,272,241,952,400.25
  5. Step 5: Solve for x
    x = 585,272,241,952,400.25/10,357,749
  6. Step 6: Final answer
    x = 56,505,737.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.