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Finding the Third Proportional to 5,725,984 and 12,480,776

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Solution

The third proportional to 5,725,984 and 12,480,776 is: 27,204,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725,984 : 12,480,776 = 12,480,776 : x
  2. Step 2: Convert to fraction form
    5,725,984/12,480,776 = 12,480,776/x
  3. Step 3: Cross multiply
    5,725,984x = 12,480,776 × 12,480,776
  4. Step 4: Simplify right side
    5,725,984x = 155,769,769,562,176
  5. Step 5: Solve for x
    x = 155,769,769,562,176/5,725,984
  6. Step 6: Final answer
    x = 27,204,017.61

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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.