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Finding the Third Proportional to 9,413,991.75 and 14,547,015

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Solution

The third proportional to 9,413,991.75 and 14,547,015 is: 22,478,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413,991.75 : 14,547,015 = 14,547,015 : x
  2. Step 2: Convert to fraction form
    9,413,991.75/14,547,015 = 14,547,015/x
  3. Step 3: Cross multiply
    9,413,991.75x = 14,547,015 × 14,547,015
  4. Step 4: Simplify right side
    9,413,991.75x = 211,615,645,410,225
  5. Step 5: Solve for x
    x = 211,615,645,410,225/9,413,991.75
  6. Step 6: Final answer
    x = 22,478,843.30

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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.