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Finding the Third Proportional to 676,745,037,292 and 1,023,835,668,396

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Solution

The third proportional to 676,745,037,292 and 1,023,835,668,396 is: 1,548,942,981,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,745,037,292 : 1,023,835,668,396 = 1,023,835,668,396 : x
  2. Step 2: Convert to fraction form
    676,745,037,292/1,023,835,668,396 = 1,023,835,668,396/x
  3. Step 3: Cross multiply
    676,745,037,292x = 1,023,835,668,396 × 1,023,835,668,396
  4. Step 4: Simplify right side
    676,745,037,292x = 1,048,239,475,879,884,017,893,376
  5. Step 5: Solve for x
    x = 1,048,239,475,879,884,017,893,376/676,745,037,292
  6. Step 6: Final answer
    x = 1,548,942,981,649.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.