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Finding the Third Proportional to 3,149,685 and 6,509,322

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Solution

The third proportional to 3,149,685 and 6,509,322 is: 13,452,543.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,685 : 6,509,322 = 6,509,322 : x
  2. Step 2: Convert to fraction form
    3,149,685/6,509,322 = 6,509,322/x
  3. Step 3: Cross multiply
    3,149,685x = 6,509,322 × 6,509,322
  4. Step 4: Simplify right side
    3,149,685x = 42,371,272,899,684
  5. Step 5: Solve for x
    x = 42,371,272,899,684/3,149,685
  6. Step 6: Final answer
    x = 13,452,543.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.