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Finding the Third Proportional to 6,194,964 and 13,286,710

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Solution

The third proportional to 6,194,964 and 13,286,710 is: 28,496,802.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194,964 : 13,286,710 = 13,286,710 : x
  2. Step 2: Convert to fraction form
    6,194,964/13,286,710 = 13,286,710/x
  3. Step 3: Cross multiply
    6,194,964x = 13,286,710 × 13,286,710
  4. Step 4: Simplify right side
    6,194,964x = 176,536,662,624,100
  5. Step 5: Solve for x
    x = 176,536,662,624,100/6,194,964
  6. Step 6: Final answer
    x = 28,496,802.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.