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Finding the Third Proportional to 4,376,323.69 and 7,031,580.89

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Solution

The third proportional to 4,376,323.69 and 7,031,580.89 is: 11,297,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376,323.69 : 7,031,580.89 = 7,031,580.89 : x
  2. Step 2: Convert to fraction form
    4,376,323.69/7,031,580.89 = 7,031,580.89/x
  3. Step 3: Cross multiply
    4,376,323.69x = 7,031,580.89 × 7,031,580.89
  4. Step 4: Simplify right side
    4,376,323.69x = 49,443,129,821,402.67
  5. Step 5: Solve for x
    x = 49,443,129,821,402.67/4,376,323.69
  6. Step 6: Final answer
    x = 11,297,868.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.