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Finding the Third Proportional to 312,995,367,492 and 677,963,983,346

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Solution

The third proportional to 312,995,367,492 and 677,963,983,346 is: 1,468,504,682,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,995,367,492 : 677,963,983,346 = 677,963,983,346 : x
  2. Step 2: Convert to fraction form
    312,995,367,492/677,963,983,346 = 677,963,983,346/x
  3. Step 3: Cross multiply
    312,995,367,492x = 677,963,983,346 × 677,963,983,346
  4. Step 4: Simplify right side
    312,995,367,492x = 459,635,162,714,375,341,473,792
  5. Step 5: Solve for x
    x = 459,635,162,714,375,341,473,792/312,995,367,492
  6. Step 6: Final answer
    x = 1,468,504,682,345.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.