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Finding the Third Proportional to 1,519,468,482 and 3,292,541,628

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Solution

The third proportional to 1,519,468,482 and 3,292,541,628 is: 7,134,620,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519,468,482 : 3,292,541,628 = 3,292,541,628 : x
  2. Step 2: Convert to fraction form
    1,519,468,482/3,292,541,628 = 3,292,541,628/x
  3. Step 3: Cross multiply
    1,519,468,482x = 3,292,541,628 × 3,292,541,628
  4. Step 4: Simplify right side
    1,519,468,482x = 10,840,830,372,112,889,856
  5. Step 5: Solve for x
    x = 10,840,830,372,112,889,856/1,519,468,482
  6. Step 6: Final answer
    x = 7,134,620,099.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.