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Finding the Third Proportional to 627,773,148 and 1,033,694,151.75

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Solution

The third proportional to 627,773,148 and 1,033,694,151.75 is: 1,702,085,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,773,148 : 1,033,694,151.75 = 1,033,694,151.75 : x
  2. Step 2: Convert to fraction form
    627,773,148/1,033,694,151.75 = 1,033,694,151.75/x
  3. Step 3: Cross multiply
    627,773,148x = 1,033,694,151.75 × 1,033,694,151.75
  4. Step 4: Simplify right side
    627,773,148x = 1,068,523,599,362,152,064
  5. Step 5: Solve for x
    x = 1,068,523,599,362,152,064/627,773,148
  6. Step 6: Final answer
    x = 1,702,085,542.79

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.