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Finding the Third Proportional to 5,830,178 and 12,808,170

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Solution

The third proportional to 5,830,178 and 12,808,170 is: 28,137,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830,178 : 12,808,170 = 12,808,170 : x
  2. Step 2: Convert to fraction form
    5,830,178/12,808,170 = 12,808,170/x
  3. Step 3: Cross multiply
    5,830,178x = 12,808,170 × 12,808,170
  4. Step 4: Simplify right side
    5,830,178x = 164,049,218,748,900
  5. Step 5: Solve for x
    x = 164,049,218,748,900/5,830,178
  6. Step 6: Final answer
    x = 28,137,943.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.