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Finding the Third Proportional to 7,829,464 and 17,248,256

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Solution

The third proportional to 7,829,464 and 17,248,256 is: 37,997,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,464 : 17,248,256 = 17,248,256 : x
  2. Step 2: Convert to fraction form
    7,829,464/17,248,256 = 17,248,256/x
  3. Step 3: Cross multiply
    7,829,464x = 17,248,256 × 17,248,256
  4. Step 4: Simplify right side
    7,829,464x = 297,502,335,041,536
  5. Step 5: Solve for x
    x = 297,502,335,041,536/7,829,464
  6. Step 6: Final answer
    x = 37,997,790.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.