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Finding the Third Proportional to 1,696,998,284 and 2,618,135,097

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Solution

The third proportional to 1,696,998,284 and 2,618,135,097 is: 4,039,268,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,998,284 : 2,618,135,097 = 2,618,135,097 : x
  2. Step 2: Convert to fraction form
    1,696,998,284/2,618,135,097 = 2,618,135,097/x
  3. Step 3: Cross multiply
    1,696,998,284x = 2,618,135,097 × 2,618,135,097
  4. Step 4: Simplify right side
    1,696,998,284x = 6,854,631,386,143,199,232
  5. Step 5: Solve for x
    x = 6,854,631,386,143,199,232/1,696,998,284
  6. Step 6: Final answer
    x = 4,039,268,307.32

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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.