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Finding the Third Proportional to 9,426,094 and 14,413,062

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Solution

The third proportional to 9,426,094 and 14,413,062 is: 22,038,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426,094 : 14,413,062 = 14,413,062 : x
  2. Step 2: Convert to fraction form
    9,426,094/14,413,062 = 14,413,062/x
  3. Step 3: Cross multiply
    9,426,094x = 14,413,062 × 14,413,062
  4. Step 4: Simplify right side
    9,426,094x = 207,736,356,215,844
  5. Step 5: Solve for x
    x = 207,736,356,215,844/9,426,094
  6. Step 6: Final answer
    x = 22,038,434.61

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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.