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Finding the Third Proportional to 5,412,312 and 11,895,984

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Solution

The third proportional to 5,412,312 and 11,895,984 is: 26,146,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412,312 : 11,895,984 = 11,895,984 : x
  2. Step 2: Convert to fraction form
    5,412,312/11,895,984 = 11,895,984/x
  3. Step 3: Cross multiply
    5,412,312x = 11,895,984 × 11,895,984
  4. Step 4: Simplify right side
    5,412,312x = 141,514,435,328,256
  5. Step 5: Solve for x
    x = 141,514,435,328,256/5,412,312
  6. Step 6: Final answer
    x = 26,146,762.29

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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.