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Finding the Third Proportional to 9,426,105 and 14,413,077

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Solution

The third proportional to 9,426,105 and 14,413,077 is: 22,038,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426,105 : 14,413,077 = 14,413,077 : x
  2. Step 2: Convert to fraction form
    9,426,105/14,413,077 = 14,413,077/x
  3. Step 3: Cross multiply
    9,426,105x = 14,413,077 × 14,413,077
  4. Step 4: Simplify right side
    9,426,105x = 207,736,788,607,929
  5. Step 5: Solve for x
    x = 207,736,788,607,929/9,426,105
  6. Step 6: Final answer
    x = 22,038,454.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.