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Finding the Third Proportional to 2,977,429 and 6,458,868

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Solution

The third proportional to 2,977,429 and 6,458,868 is: 14,011,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977,429 : 6,458,868 = 6,458,868 : x
  2. Step 2: Convert to fraction form
    2,977,429/6,458,868 = 6,458,868/x
  3. Step 3: Cross multiply
    2,977,429x = 6,458,868 × 6,458,868
  4. Step 4: Simplify right side
    2,977,429x = 41,716,975,841,424
  5. Step 5: Solve for x
    x = 41,716,975,841,424/2,977,429
  6. Step 6: Final answer
    x = 14,011,073.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.