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Finding the Third Proportional to 5,796,658.69 and 7,872,445.69

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Solution

The third proportional to 5,796,658.69 and 7,872,445.69 is: 10,691,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796,658.69 : 7,872,445.69 = 7,872,445.69 : x
  2. Step 2: Convert to fraction form
    5,796,658.69/7,872,445.69 = 7,872,445.69/x
  3. Step 3: Cross multiply
    5,796,658.69x = 7,872,445.69 × 7,872,445.69
  4. Step 4: Simplify right side
    5,796,658.69x = 61,975,401,102,637.34
  5. Step 5: Solve for x
    x = 61,975,401,102,637.34/5,796,658.69
  6. Step 6: Final answer
    x = 10,691,573.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.