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Finding the Third Proportional to 4,723,627,319 and 10,148,253,697

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Solution

The third proportional to 4,723,627,319 and 10,148,253,697 is: 21,802,535,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,627,319 : 10,148,253,697 = 10,148,253,697 : x
  2. Step 2: Convert to fraction form
    4,723,627,319/10,148,253,697 = 10,148,253,697/x
  3. Step 3: Cross multiply
    4,723,627,319x = 10,148,253,697 × 10,148,253,697
  4. Step 4: Simplify right side
    4,723,627,319x = 102,987,053,098,674,176,000
  5. Step 5: Solve for x
    x = 102,987,053,098,674,176,000/4,723,627,319
  6. Step 6: Final answer
    x = 21,802,535,666.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.