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Finding the Third Proportional to 6,301,347 and 12,833,829

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Solution

The third proportional to 6,301,347 and 12,833,829 is: 26,138,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,347 : 12,833,829 = 12,833,829 : x
  2. Step 2: Convert to fraction form
    6,301,347/12,833,829 = 12,833,829/x
  3. Step 3: Cross multiply
    6,301,347x = 12,833,829 × 12,833,829
  4. Step 4: Simplify right side
    6,301,347x = 164,707,166,801,241
  5. Step 5: Solve for x
    x = 164,707,166,801,241/6,301,347
  6. Step 6: Final answer
    x = 26,138,406.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.