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Finding the Third Proportional to 3,394,966,339,272 and 7,404,385,856,490

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Solution

The third proportional to 3,394,966,339,272 and 7,404,385,856,490 is: 16,148,887,627,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394,966,339,272 : 7,404,385,856,490 = 7,404,385,856,490 : x
  2. Step 2: Convert to fraction form
    3,394,966,339,272/7,404,385,856,490 = 7,404,385,856,490/x
  3. Step 3: Cross multiply
    3,394,966,339,272x = 7,404,385,856,490 × 7,404,385,856,490
  4. Step 4: Simplify right side
    3,394,966,339,272x = 54,824,929,911,789,151,498,272,768
  5. Step 5: Solve for x
    x = 54,824,929,911,789,151,498,272,768/3,394,966,339,272
  6. Step 6: Final answer
    x = 16,148,887,627,423.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.