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Finding the Third Proportional to 8,657,462 and 13,457,757

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Solution

The third proportional to 8,657,462 and 13,457,757 is: 20,919,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657,462 : 13,457,757 = 13,457,757 : x
  2. Step 2: Convert to fraction form
    8,657,462/13,457,757 = 13,457,757/x
  3. Step 3: Cross multiply
    8,657,462x = 13,457,757 × 13,457,757
  4. Step 4: Simplify right side
    8,657,462x = 181,111,223,471,049
  5. Step 5: Solve for x
    x = 181,111,223,471,049/8,657,462
  6. Step 6: Final answer
    x = 20,919,667.16

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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.