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Finding the Third Proportional to 5,725,367 and 12,347,473

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Solution

The third proportional to 5,725,367 and 12,347,473 is: 26,628,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725,367 : 12,347,473 = 12,347,473 : x
  2. Step 2: Convert to fraction form
    5,725,367/12,347,473 = 12,347,473/x
  3. Step 3: Cross multiply
    5,725,367x = 12,347,473 × 12,347,473
  4. Step 4: Simplify right side
    5,725,367x = 152,460,089,485,729
  5. Step 5: Solve for x
    x = 152,460,089,485,729/5,725,367
  6. Step 6: Final answer
    x = 26,628,876.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.