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Finding the Third Proportional to 3,076,838 and 6,744,121

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Solution

The third proportional to 3,076,838 and 6,744,121 is: 14,782,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076,838 : 6,744,121 = 6,744,121 : x
  2. Step 2: Convert to fraction form
    3,076,838/6,744,121 = 6,744,121/x
  3. Step 3: Cross multiply
    3,076,838x = 6,744,121 × 6,744,121
  4. Step 4: Simplify right side
    3,076,838x = 45,483,168,062,641
  5. Step 5: Solve for x
    x = 45,483,168,062,641/3,076,838
  6. Step 6: Final answer
    x = 14,782,438.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.