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Finding the Third Proportional to 6,518,084 and 14,030,160

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Solution

The third proportional to 6,518,084 and 14,030,160 is: 30,199,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518,084 : 14,030,160 = 14,030,160 : x
  2. Step 2: Convert to fraction form
    6,518,084/14,030,160 = 14,030,160/x
  3. Step 3: Cross multiply
    6,518,084x = 14,030,160 × 14,030,160
  4. Step 4: Simplify right side
    6,518,084x = 196,845,389,625,600
  5. Step 5: Solve for x
    x = 196,845,389,625,600/6,518,084
  6. Step 6: Final answer
    x = 30,199,885.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.