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Finding the Third Proportional to 6,817,080 and 14,578,937.25

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Solution

The third proportional to 6,817,080 and 14,578,937.25 is: 31,178,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817,080 : 14,578,937.25 = 14,578,937.25 : x
  2. Step 2: Convert to fraction form
    6,817,080/14,578,937.25 = 14,578,937.25/x
  3. Step 3: Cross multiply
    6,817,080x = 14,578,937.25 × 14,578,937.25
  4. Step 4: Simplify right side
    6,817,080x = 212,545,411,339,437.56
  5. Step 5: Solve for x
    x = 212,545,411,339,437.56/6,817,080
  6. Step 6: Final answer
    x = 31,178,365.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.