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Finding the Third Proportional to 7,659,570 and 16,529,577

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Solution

The third proportional to 7,659,570 and 16,529,577 is: 35,671,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659,570 : 16,529,577 = 16,529,577 : x
  2. Step 2: Convert to fraction form
    7,659,570/16,529,577 = 16,529,577/x
  3. Step 3: Cross multiply
    7,659,570x = 16,529,577 × 16,529,577
  4. Step 4: Simplify right side
    7,659,570x = 273,226,915,798,929
  5. Step 5: Solve for x
    x = 273,226,915,798,929/7,659,570
  6. Step 6: Final answer
    x = 35,671,312.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.