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Finding the Third Proportional to 5,628,580 and 12,289,423

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Solution

The third proportional to 5,628,580 and 12,289,423 is: 26,832,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628,580 : 12,289,423 = 12,289,423 : x
  2. Step 2: Convert to fraction form
    5,628,580/12,289,423 = 12,289,423/x
  3. Step 3: Cross multiply
    5,628,580x = 12,289,423 × 12,289,423
  4. Step 4: Simplify right side
    5,628,580x = 151,029,917,672,929
  5. Step 5: Solve for x
    x = 151,029,917,672,929/5,628,580
  6. Step 6: Final answer
    x = 26,832,685.63

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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.