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Finding the Third Proportional to 6,932,873.25 and 10,819,013.63

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Solution

The third proportional to 6,932,873.25 and 10,819,013.63 is: 16,883,484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932,873.25 : 10,819,013.63 = 10,819,013.63 : x
  2. Step 2: Convert to fraction form
    6,932,873.25/10,819,013.63 = 10,819,013.63/x
  3. Step 3: Cross multiply
    6,932,873.25x = 10,819,013.63 × 10,819,013.63
  4. Step 4: Simplify right side
    6,932,873.25x = 117,051,055,817,935.64
  5. Step 5: Solve for x
    x = 117,051,055,817,935.64/6,932,873.25
  6. Step 6: Final answer
    x = 16,883,484.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.