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Finding the Third Proportional to 5,889,431 and 12,457,905

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Solution

The third proportional to 5,889,431 and 12,457,905 is: 26,352,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889,431 : 12,457,905 = 12,457,905 : x
  2. Step 2: Convert to fraction form
    5,889,431/12,457,905 = 12,457,905/x
  3. Step 3: Cross multiply
    5,889,431x = 12,457,905 × 12,457,905
  4. Step 4: Simplify right side
    5,889,431x = 155,199,396,989,025
  5. Step 5: Solve for x
    x = 155,199,396,989,025/5,889,431
  6. Step 6: Final answer
    x = 26,352,188.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.