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Finding the Third Proportional to 6,674,746 and 14,355,513

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Solution

The third proportional to 6,674,746 and 14,355,513 is: 30,874,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674,746 : 14,355,513 = 14,355,513 : x
  2. Step 2: Convert to fraction form
    6,674,746/14,355,513 = 14,355,513/x
  3. Step 3: Cross multiply
    6,674,746x = 14,355,513 × 14,355,513
  4. Step 4: Simplify right side
    6,674,746x = 206,080,753,493,169
  5. Step 5: Solve for x
    x = 206,080,753,493,169/6,674,746
  6. Step 6: Final answer
    x = 30,874,695.98

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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.