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Finding the Third Proportional to 3,047,829 and 6,621,066

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Solution

The third proportional to 3,047,829 and 6,621,066 is: 14,383,521.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047,829 : 6,621,066 = 6,621,066 : x
  2. Step 2: Convert to fraction form
    3,047,829/6,621,066 = 6,621,066/x
  3. Step 3: Cross multiply
    3,047,829x = 6,621,066 × 6,621,066
  4. Step 4: Simplify right side
    3,047,829x = 43,838,514,976,356
  5. Step 5: Solve for x
    x = 43,838,514,976,356/3,047,829
  6. Step 6: Final answer
    x = 14,383,521.84

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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.