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Finding the Third Proportional to 6,579,819 and 9,814,959

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Solution

The third proportional to 6,579,819 and 9,814,959 is: 14,640,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579,819 : 9,814,959 = 9,814,959 : x
  2. Step 2: Convert to fraction form
    6,579,819/9,814,959 = 9,814,959/x
  3. Step 3: Cross multiply
    6,579,819x = 9,814,959 × 9,814,959
  4. Step 4: Simplify right side
    6,579,819x = 96,333,420,171,681
  5. Step 5: Solve for x
    x = 96,333,420,171,681/6,579,819
  6. Step 6: Final answer
    x = 14,640,740.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.