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Finding the Third Proportional to 848,625,815.25 and 1,267,712,643.38

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Solution

The third proportional to 848,625,815.25 and 1,267,712,643.38 is: 1,893,762,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,625,815.25 : 1,267,712,643.38 = 1,267,712,643.38 : x
  2. Step 2: Convert to fraction form
    848,625,815.25/1,267,712,643.38 = 1,267,712,643.38/x
  3. Step 3: Cross multiply
    848,625,815.25x = 1,267,712,643.38 × 1,267,712,643.38
  4. Step 4: Simplify right side
    848,625,815.25x = 1,607,095,346,172,829,952
  5. Step 5: Solve for x
    x = 1,607,095,346,172,829,952/848,625,815.25
  6. Step 6: Final answer
    x = 1,893,762,029.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.