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Finding the Third Proportional to 3,346,930.13 and 4,971,187.69

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Solution

The third proportional to 3,346,930.13 and 4,971,187.69 is: 7,383,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346,930.13 : 4,971,187.69 = 4,971,187.69 : x
  2. Step 2: Convert to fraction form
    3,346,930.13/4,971,187.69 = 4,971,187.69/x
  3. Step 3: Cross multiply
    3,346,930.13x = 4,971,187.69 × 4,971,187.69
  4. Step 4: Simplify right side
    3,346,930.13x = 24,712,707,024,351.60
  5. Step 5: Solve for x
    x = 24,712,707,024,351.60/3,346,930.13
  6. Step 6: Final answer
    x = 7,383,693.74

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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.