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Finding the Third Proportional to 3,097,535 and 6,643,466

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Solution

The third proportional to 3,097,535 and 6,643,466 is: 14,248,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,535 : 6,643,466 = 6,643,466 : x
  2. Step 2: Convert to fraction form
    3,097,535/6,643,466 = 6,643,466/x
  3. Step 3: Cross multiply
    3,097,535x = 6,643,466 × 6,643,466
  4. Step 4: Simplify right side
    3,097,535x = 44,135,640,493,156
  5. Step 5: Solve for x
    x = 44,135,640,493,156/3,097,535
  6. Step 6: Final answer
    x = 14,248,633.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.