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Finding the Third Proportional to 6,347,700 and 14,982,046

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Solution

The third proportional to 6,347,700 and 14,982,046 is: 35,361,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347,700 : 14,982,046 = 14,982,046 : x
  2. Step 2: Convert to fraction form
    6,347,700/14,982,046 = 14,982,046/x
  3. Step 3: Cross multiply
    6,347,700x = 14,982,046 × 14,982,046
  4. Step 4: Simplify right side
    6,347,700x = 224,461,702,346,116
  5. Step 5: Solve for x
    x = 224,461,702,346,116/6,347,700
  6. Step 6: Final answer
    x = 35,361,107.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.