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Finding the Third Proportional to 1,583,338,752 and 2,147,942,514

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Solution

The third proportional to 1,583,338,752 and 2,147,942,514 is: 2,913,878,686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,338,752 : 2,147,942,514 = 2,147,942,514 : x
  2. Step 2: Convert to fraction form
    1,583,338,752/2,147,942,514 = 2,147,942,514/x
  3. Step 3: Cross multiply
    1,583,338,752x = 2,147,942,514 × 2,147,942,514
  4. Step 4: Simplify right side
    1,583,338,752x = 4,613,657,043,448,640,512
  5. Step 5: Solve for x
    x = 4,613,657,043,448,640,512/1,583,338,752
  6. Step 6: Final answer
    x = 2,913,878,686.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.