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Finding the Third Proportional to 613,661,310 and 1,342,111,689

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Solution

The third proportional to 613,661,310 and 1,342,111,689 is: 2,935,273,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,661,310 : 1,342,111,689 = 1,342,111,689 : x
  2. Step 2: Convert to fraction form
    613,661,310/1,342,111,689 = 1,342,111,689/x
  3. Step 3: Cross multiply
    613,661,310x = 1,342,111,689 × 1,342,111,689
  4. Step 4: Simplify right side
    613,661,310x = 1,801,263,785,750,432,768
  5. Step 5: Solve for x
    x = 1,801,263,785,750,432,768/613,661,310
  6. Step 6: Final answer
    x = 2,935,273,507.39

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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.