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Finding the Third Proportional to 6,461,241 and 14,096,082

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Solution

The third proportional to 6,461,241 and 14,096,082 is: 30,752,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,241 : 14,096,082 = 14,096,082 : x
  2. Step 2: Convert to fraction form
    6,461,241/14,096,082 = 14,096,082/x
  3. Step 3: Cross multiply
    6,461,241x = 14,096,082 × 14,096,082
  4. Step 4: Simplify right side
    6,461,241x = 198,699,527,750,724
  5. Step 5: Solve for x
    x = 198,699,527,750,724/6,461,241
  6. Step 6: Final answer
    x = 30,752,533.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.