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Finding the Third Proportional to 7,024,609,802 and 15,168,820,584

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Solution

The third proportional to 7,024,609,802 and 15,168,820,584 is: 32,755,288,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024,609,802 : 15,168,820,584 = 15,168,820,584 : x
  2. Step 2: Convert to fraction form
    7,024,609,802/15,168,820,584 = 15,168,820,584/x
  3. Step 3: Cross multiply
    7,024,609,802x = 15,168,820,584 × 15,168,820,584
  4. Step 4: Simplify right side
    7,024,609,802x = 230,093,117,909,582,086,144
  5. Step 5: Solve for x
    x = 230,093,117,909,582,086,144/7,024,609,802
  6. Step 6: Final answer
    x = 32,755,288,107.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.