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Finding the Third Proportional to 11,362,576.50 and 17,630,038.13

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Solution

The third proportional to 11,362,576.50 and 17,630,038.13 is: 27,354,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362,576.50 : 17,630,038.13 = 17,630,038.13 : x
  2. Step 2: Convert to fraction form
    11,362,576.50/17,630,038.13 = 17,630,038.13/x
  3. Step 3: Cross multiply
    11,362,576.50x = 17,630,038.13 × 17,630,038.13
  4. Step 4: Simplify right side
    11,362,576.50x = 310,818,244,288,953.50
  5. Step 5: Solve for x
    x = 310,818,244,288,953.50/11,362,576.50
  6. Step 6: Final answer
    x = 27,354,556.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.