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Finding the Third Proportional to 7,571,871 and 16,421,310

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Solution

The third proportional to 7,571,871 and 16,421,310 is: 35,613,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571,871 : 16,421,310 = 16,421,310 : x
  2. Step 2: Convert to fraction form
    7,571,871/16,421,310 = 16,421,310/x
  3. Step 3: Cross multiply
    7,571,871x = 16,421,310 × 16,421,310
  4. Step 4: Simplify right side
    7,571,871x = 269,659,422,116,100
  5. Step 5: Solve for x
    x = 269,659,422,116,100/7,571,871
  6. Step 6: Final answer
    x = 35,613,314.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.