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Finding the Third Proportional to 7,584,407 and 11,565,514

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Solution

The third proportional to 7,584,407 and 11,565,514 is: 17,636,331.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584,407 : 11,565,514 = 11,565,514 : x
  2. Step 2: Convert to fraction form
    7,584,407/11,565,514 = 11,565,514/x
  3. Step 3: Cross multiply
    7,584,407x = 11,565,514 × 11,565,514
  4. Step 4: Simplify right side
    7,584,407x = 133,761,114,084,196
  5. Step 5: Solve for x
    x = 133,761,114,084,196/7,584,407
  6. Step 6: Final answer
    x = 17,636,331.24

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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.