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Finding the Third Proportional to 2,913,846 and 6,182,742

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Solution

The third proportional to 2,913,846 and 6,182,742 is: 13,118,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,846 : 6,182,742 = 6,182,742 : x
  2. Step 2: Convert to fraction form
    2,913,846/6,182,742 = 6,182,742/x
  3. Step 3: Cross multiply
    2,913,846x = 6,182,742 × 6,182,742
  4. Step 4: Simplify right side
    2,913,846x = 38,226,298,638,564
  5. Step 5: Solve for x
    x = 38,226,298,638,564/2,913,846
  6. Step 6: Final answer
    x = 13,118,846.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.