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Finding the Third Proportional to 1,363,388,452 and 2,944,700,600

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Solution

The third proportional to 1,363,388,452 and 2,944,700,600 is: 6,360,081,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363,388,452 : 2,944,700,600 = 2,944,700,600 : x
  2. Step 2: Convert to fraction form
    1,363,388,452/2,944,700,600 = 2,944,700,600/x
  3. Step 3: Cross multiply
    1,363,388,452x = 2,944,700,600 × 2,944,700,600
  4. Step 4: Simplify right side
    1,363,388,452x = 8,671,261,623,640,359,936
  5. Step 5: Solve for x
    x = 8,671,261,623,640,359,936/1,363,388,452
  6. Step 6: Final answer
    x = 6,360,081,465.35

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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.