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Finding the Third Proportional to 6,013,764 and 12,618,018

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Solution

The third proportional to 6,013,764 and 12,618,018 is: 26,474,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013,764 : 12,618,018 = 12,618,018 : x
  2. Step 2: Convert to fraction form
    6,013,764/12,618,018 = 12,618,018/x
  3. Step 3: Cross multiply
    6,013,764x = 12,618,018 × 12,618,018
  4. Step 4: Simplify right side
    6,013,764x = 159,214,378,248,324
  5. Step 5: Solve for x
    x = 159,214,378,248,324/6,013,764
  6. Step 6: Final answer
    x = 26,474,996.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.