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Finding the Third Proportional to 3,586,356 and 7,739,466

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Solution

The third proportional to 3,586,356 and 7,739,466 is: 16,702,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586,356 : 7,739,466 = 7,739,466 : x
  2. Step 2: Convert to fraction form
    3,586,356/7,739,466 = 7,739,466/x
  3. Step 3: Cross multiply
    3,586,356x = 7,739,466 × 7,739,466
  4. Step 4: Simplify right side
    3,586,356x = 59,899,333,965,156
  5. Step 5: Solve for x
    x = 59,899,333,965,156/3,586,356
  6. Step 6: Final answer
    x = 16,702,004.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.