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Finding the Third Proportional to 9,670,000.50 and 14,629,575

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Solution

The third proportional to 9,670,000.50 and 14,629,575 is: 22,132,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670,000.50 : 14,629,575 = 14,629,575 : x
  2. Step 2: Convert to fraction form
    9,670,000.50/14,629,575 = 14,629,575/x
  3. Step 3: Cross multiply
    9,670,000.50x = 14,629,575 × 14,629,575
  4. Step 4: Simplify right side
    9,670,000.50x = 214,024,464,680,625
  5. Step 5: Solve for x
    x = 214,024,464,680,625/9,670,000.50
  6. Step 6: Final answer
    x = 22,132,828.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.