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Finding the Third Proportional to 7,937,519 and 16,828,819

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Solution

The third proportional to 7,937,519 and 16,828,819 is: 35,679,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937,519 : 16,828,819 = 16,828,819 : x
  2. Step 2: Convert to fraction form
    7,937,519/16,828,819 = 16,828,819/x
  3. Step 3: Cross multiply
    7,937,519x = 16,828,819 × 16,828,819
  4. Step 4: Simplify right side
    7,937,519x = 283,209,148,934,761
  5. Step 5: Solve for x
    x = 283,209,148,934,761/7,937,519
  6. Step 6: Final answer
    x = 35,679,807.37

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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.