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Finding the Third Proportional to 13,948,296 and 30,098,490

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Solution

The third proportional to 13,948,296 and 30,098,490 is: 64,948,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948,296 : 30,098,490 = 30,098,490 : x
  2. Step 2: Convert to fraction form
    13,948,296/30,098,490 = 30,098,490/x
  3. Step 3: Cross multiply
    13,948,296x = 30,098,490 × 30,098,490
  4. Step 4: Simplify right side
    13,948,296x = 905,919,100,280,100
  5. Step 5: Solve for x
    x = 905,919,100,280,100/13,948,296
  6. Step 6: Final answer
    x = 64,948,370.77

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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.