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Finding the Third Proportional to 299,451,415,194 and 665,855,893,320

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Solution

The third proportional to 299,451,415,194 and 665,855,893,320 is: 1,480,587,661,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,451,415,194 : 665,855,893,320 = 665,855,893,320 : x
  2. Step 2: Convert to fraction form
    299,451,415,194/665,855,893,320 = 665,855,893,320/x
  3. Step 3: Cross multiply
    299,451,415,194x = 665,855,893,320 × 665,855,893,320
  4. Step 4: Simplify right side
    299,451,415,194x = 443,364,070,668,975,191,621,632
  5. Step 5: Solve for x
    x = 443,364,070,668,975,191,621,632/299,451,415,194
  6. Step 6: Final answer
    x = 1,480,587,661,880.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.