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Finding the Third Proportional to 816,652,312 and 1,792,027,904

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Solution

The third proportional to 816,652,312 and 1,792,027,904 is: 3,932,351,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,652,312 : 1,792,027,904 = 1,792,027,904 : x
  2. Step 2: Convert to fraction form
    816,652,312/1,792,027,904 = 1,792,027,904/x
  3. Step 3: Cross multiply
    816,652,312x = 1,792,027,904 × 1,792,027,904
  4. Step 4: Simplify right side
    816,652,312x = 3,211,364,008,714,633,216
  5. Step 5: Solve for x
    x = 3,211,364,008,714,633,216/816,652,312
  6. Step 6: Final answer
    x = 3,932,351,579.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.