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Finding the Third Proportional to 6,533,618,696 and 10,042,640,268

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Solution

The third proportional to 6,533,618,696 and 10,042,640,268 is: 15,436,257,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533,618,696 : 10,042,640,268 = 10,042,640,268 : x
  2. Step 2: Convert to fraction form
    6,533,618,696/10,042,640,268 = 10,042,640,268/x
  3. Step 3: Cross multiply
    6,533,618,696x = 10,042,640,268 × 10,042,640,268
  4. Step 4: Simplify right side
    6,533,618,696x = 100,854,623,552,455,114,752
  5. Step 5: Solve for x
    x = 100,854,623,552,455,114,752/6,533,618,696
  6. Step 6: Final answer
    x = 15,436,257,952.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.