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Finding the Third Proportional to 2,534,312 and 5,514,772

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Solution

The third proportional to 2,534,312 and 5,514,772 is: 12,000,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534,312 : 5,514,772 = 5,514,772 : x
  2. Step 2: Convert to fraction form
    2,534,312/5,514,772 = 5,514,772/x
  3. Step 3: Cross multiply
    2,534,312x = 5,514,772 × 5,514,772
  4. Step 4: Simplify right side
    2,534,312x = 30,412,710,211,984
  5. Step 5: Solve for x
    x = 30,412,710,211,984/2,534,312
  6. Step 6: Final answer
    x = 12,000,381.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.