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Finding the Third Proportional to 1,363,375,540 and 2,944,674,664

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Solution

The third proportional to 1,363,375,540 and 2,944,674,664 is: 6,360,029,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363,375,540 : 2,944,674,664 = 2,944,674,664 : x
  2. Step 2: Convert to fraction form
    1,363,375,540/2,944,674,664 = 2,944,674,664/x
  3. Step 3: Cross multiply
    1,363,375,540x = 2,944,674,664 × 2,944,674,664
  4. Step 4: Simplify right side
    1,363,375,540x = 8,671,108,876,803,513,344
  5. Step 5: Solve for x
    x = 8,671,108,876,803,513,344/1,363,375,540
  6. Step 6: Final answer
    x = 6,360,029,663.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.