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Finding the Third Proportional to 6,773,564 and 10,319,145

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Solution

The third proportional to 6,773,564 and 10,319,145 is: 15,720,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773,564 : 10,319,145 = 10,319,145 : x
  2. Step 2: Convert to fraction form
    6,773,564/10,319,145 = 10,319,145/x
  3. Step 3: Cross multiply
    6,773,564x = 10,319,145 × 10,319,145
  4. Step 4: Simplify right side
    6,773,564x = 106,484,753,531,025
  5. Step 5: Solve for x
    x = 106,484,753,531,025/6,773,564
  6. Step 6: Final answer
    x = 15,720,638.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.