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Finding the Third Proportional to 7,812,638 and 17,138,012

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Solution

The third proportional to 7,812,638 and 17,138,012 is: 37,594,402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812,638 : 17,138,012 = 17,138,012 : x
  2. Step 2: Convert to fraction form
    7,812,638/17,138,012 = 17,138,012/x
  3. Step 3: Cross multiply
    7,812,638x = 17,138,012 × 17,138,012
  4. Step 4: Simplify right side
    7,812,638x = 293,711,455,312,144
  5. Step 5: Solve for x
    x = 293,711,455,312,144/7,812,638
  6. Step 6: Final answer
    x = 37,594,402.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.