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Finding the Third Proportional to 9,296,513 and 14,429,733

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Solution

The third proportional to 9,296,513 and 14,429,733 is: 22,397,343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296,513 : 14,429,733 = 14,429,733 : x
  2. Step 2: Convert to fraction form
    9,296,513/14,429,733 = 14,429,733/x
  3. Step 3: Cross multiply
    9,296,513x = 14,429,733 × 14,429,733
  4. Step 4: Simplify right side
    9,296,513x = 208,217,194,451,289
  5. Step 5: Solve for x
    x = 208,217,194,451,289/9,296,513
  6. Step 6: Final answer
    x = 22,397,343.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.