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Finding the Third Proportional to 258,056,993,669 and 404,815,276,294

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Solution

The third proportional to 258,056,993,669 and 404,815,276,294 is: 635,035,716,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,056,993,669 : 404,815,276,294 = 404,815,276,294 : x
  2. Step 2: Convert to fraction form
    258,056,993,669/404,815,276,294 = 404,815,276,294/x
  3. Step 3: Cross multiply
    258,056,993,669x = 404,815,276,294 × 404,815,276,294
  4. Step 4: Simplify right side
    258,056,993,669x = 163,875,407,920,987,549,728,768
  5. Step 5: Solve for x
    x = 163,875,407,920,987,549,728,768/258,056,993,669
  6. Step 6: Final answer
    x = 635,035,716,688.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.