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Finding the Third Proportional to 952,486,257,308 and 1,456,062,048,514

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Solution

The third proportional to 952,486,257,308 and 1,456,062,048,514 is: 2,225,876,408,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,486,257,308 : 1,456,062,048,514 = 1,456,062,048,514 : x
  2. Step 2: Convert to fraction form
    952,486,257,308/1,456,062,048,514 = 1,456,062,048,514/x
  3. Step 3: Cross multiply
    952,486,257,308x = 1,456,062,048,514 × 1,456,062,048,514
  4. Step 4: Simplify right side
    952,486,257,308x = 2,120,116,689,122,786,126,331,904
  5. Step 5: Solve for x
    x = 2,120,116,689,122,786,126,331,904/952,486,257,308
  6. Step 6: Final answer
    x = 2,225,876,408,038.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.