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Finding the Third Proportional to 6,094,724 and 12,999,432

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Solution

The third proportional to 6,094,724 and 12,999,432 is: 27,726,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094,724 : 12,999,432 = 12,999,432 : x
  2. Step 2: Convert to fraction form
    6,094,724/12,999,432 = 12,999,432/x
  3. Step 3: Cross multiply
    6,094,724x = 12,999,432 × 12,999,432
  4. Step 4: Simplify right side
    6,094,724x = 168,985,232,322,624
  5. Step 5: Solve for x
    x = 168,985,232,322,624/6,094,724
  6. Step 6: Final answer
    x = 27,726,478.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.