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Finding the Third Proportional to 1,615,815,513 and 3,533,961,330

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Solution

The third proportional to 1,615,815,513 and 3,533,961,330 is: 7,729,151,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,815,513 : 3,533,961,330 = 3,533,961,330 : x
  2. Step 2: Convert to fraction form
    1,615,815,513/3,533,961,330 = 3,533,961,330/x
  3. Step 3: Cross multiply
    1,615,815,513x = 3,533,961,330 × 3,533,961,330
  4. Step 4: Simplify right side
    1,615,815,513x = 12,488,882,681,935,368,192
  5. Step 5: Solve for x
    x = 12,488,882,681,935,368,192/1,615,815,513
  6. Step 6: Final answer
    x = 7,729,151,367.50

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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.