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Finding the Third Proportional to 5,715,646 and 12,217,352

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Solution

The third proportional to 5,715,646 and 12,217,352 is: 26,114,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715,646 : 12,217,352 = 12,217,352 : x
  2. Step 2: Convert to fraction form
    5,715,646/12,217,352 = 12,217,352/x
  3. Step 3: Cross multiply
    5,715,646x = 12,217,352 × 12,217,352
  4. Step 4: Simplify right side
    5,715,646x = 149,263,689,891,904
  5. Step 5: Solve for x
    x = 149,263,689,891,904/5,715,646
  6. Step 6: Final answer
    x = 26,114,929.07

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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.