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Finding the Third Proportional to 4,759,309 and 7,149,513

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Solution

The third proportional to 4,759,309 and 7,149,513 is: 10,740,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759,309 : 7,149,513 = 7,149,513 : x
  2. Step 2: Convert to fraction form
    4,759,309/7,149,513 = 7,149,513/x
  3. Step 3: Cross multiply
    4,759,309x = 7,149,513 × 7,149,513
  4. Step 4: Simplify right side
    4,759,309x = 51,115,536,137,169
  5. Step 5: Solve for x
    x = 51,115,536,137,169/4,759,309
  6. Step 6: Final answer
    x = 10,740,117.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.