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Finding the Third Proportional to 4,700,111 and 6,341,551

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Solution

The third proportional to 4,700,111 and 6,341,551 is: 8,556,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700,111 : 6,341,551 = 6,341,551 : x
  2. Step 2: Convert to fraction form
    4,700,111/6,341,551 = 6,341,551/x
  3. Step 3: Cross multiply
    4,700,111x = 6,341,551 × 6,341,551
  4. Step 4: Simplify right side
    4,700,111x = 40,215,269,085,601
  5. Step 5: Solve for x
    x = 40,215,269,085,601/4,700,111
  6. Step 6: Final answer
    x = 8,556,238.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.