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Finding the Third Proportional to 7,297,512,628 and 15,932,662,208

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Solution

The third proportional to 7,297,512,628 and 15,932,662,208 is: 34,785,787,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297,512,628 : 15,932,662,208 = 15,932,662,208 : x
  2. Step 2: Convert to fraction form
    7,297,512,628/15,932,662,208 = 15,932,662,208/x
  3. Step 3: Cross multiply
    7,297,512,628x = 15,932,662,208 × 15,932,662,208
  4. Step 4: Simplify right side
    7,297,512,628x = 253,849,725,034,231,431,168
  5. Step 5: Solve for x
    x = 253,849,725,034,231,431,168/7,297,512,628
  6. Step 6: Final answer
    x = 34,785,787,702.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.