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Finding the Third Proportional to 9,830,050.50 and 14,745,077

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Solution

The third proportional to 9,830,050.50 and 14,745,077 is: 22,117,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830,050.50 : 14,745,077 = 14,745,077 : x
  2. Step 2: Convert to fraction form
    9,830,050.50/14,745,077 = 14,745,077/x
  3. Step 3: Cross multiply
    9,830,050.50x = 14,745,077 × 14,745,077
  4. Step 4: Simplify right side
    9,830,050.50x = 217,417,295,735,929
  5. Step 5: Solve for x
    x = 217,417,295,735,929/9,830,050.50
  6. Step 6: Final answer
    x = 22,117,617.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.