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Finding the Third Proportional to 299,451,415,196 and 665,855,893,324

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Solution

The third proportional to 299,451,415,196 and 665,855,893,324 is: 1,480,587,661,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,451,415,196 : 665,855,893,324 = 665,855,893,324 : x
  2. Step 2: Convert to fraction form
    299,451,415,196/665,855,893,324 = 665,855,893,324/x
  3. Step 3: Cross multiply
    299,451,415,196x = 665,855,893,324 × 665,855,893,324
  4. Step 4: Simplify right side
    299,451,415,196x = 443,364,070,674,302,091,919,360
  5. Step 5: Solve for x
    x = 443,364,070,674,302,091,919,360/299,451,415,196
  6. Step 6: Final answer
    x = 1,480,587,661,888.68

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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.