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Finding the Third Proportional to 3,000,994 and 6,514,628

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Solution

The third proportional to 3,000,994 and 6,514,628 is: 14,142,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000,994 : 6,514,628 = 6,514,628 : x
  2. Step 2: Convert to fraction form
    3,000,994/6,514,628 = 6,514,628/x
  3. Step 3: Cross multiply
    3,000,994x = 6,514,628 × 6,514,628
  4. Step 4: Simplify right side
    3,000,994x = 42,440,377,978,384
  5. Step 5: Solve for x
    x = 42,440,377,978,384/3,000,994
  6. Step 6: Final answer
    x = 14,142,106.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.