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Finding the Third Proportional to 1,497,395,354 and 3,231,544,420

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Solution

The third proportional to 1,497,395,354 and 3,231,544,420 is: 6,974,029,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,395,354 : 3,231,544,420 = 3,231,544,420 : x
  2. Step 2: Convert to fraction form
    1,497,395,354/3,231,544,420 = 3,231,544,420/x
  3. Step 3: Cross multiply
    1,497,395,354x = 3,231,544,420 × 3,231,544,420
  4. Step 4: Simplify right side
    1,497,395,354x = 10,442,879,338,433,136,640
  5. Step 5: Solve for x
    x = 10,442,879,338,433,136,640/1,497,395,354
  6. Step 6: Final answer
    x = 6,974,029,477.61

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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.