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Finding the Third Proportional to 9,518,139 and 14,500,216.50

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Solution

The third proportional to 9,518,139 and 14,500,216.50 is: 22,090,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518,139 : 14,500,216.50 = 14,500,216.50 : x
  2. Step 2: Convert to fraction form
    9,518,139/14,500,216.50 = 14,500,216.50/x
  3. Step 3: Cross multiply
    9,518,139x = 14,500,216.50 × 14,500,216.50
  4. Step 4: Simplify right side
    9,518,139x = 210,256,278,546,872.25
  5. Step 5: Solve for x
    x = 210,256,278,546,872.25/9,518,139
  6. Step 6: Final answer
    x = 22,090,061.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.