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Finding the Third Proportional to 9,518,864 and 14,501,370

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Solution

The third proportional to 9,518,864 and 14,501,370 is: 22,091,893.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518,864 : 14,501,370 = 14,501,370 : x
  2. Step 2: Convert to fraction form
    9,518,864/14,501,370 = 14,501,370/x
  3. Step 3: Cross multiply
    9,518,864x = 14,501,370 × 14,501,370
  4. Step 4: Simplify right side
    9,518,864x = 210,289,731,876,900
  5. Step 5: Solve for x
    x = 210,289,731,876,900/9,518,864
  6. Step 6: Final answer
    x = 22,091,893.73

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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.