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Finding the Third Proportional to 536,172,752 and 1,157,031,976

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Solution

The third proportional to 536,172,752 and 1,157,031,976 is: 2,496,812,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,172,752 : 1,157,031,976 = 1,157,031,976 : x
  2. Step 2: Convert to fraction form
    536,172,752/1,157,031,976 = 1,157,031,976/x
  3. Step 3: Cross multiply
    536,172,752x = 1,157,031,976 × 1,157,031,976
  4. Step 4: Simplify right side
    536,172,752x = 1,338,722,993,486,464,512
  5. Step 5: Solve for x
    x = 1,338,722,993,486,464,512/536,172,752
  6. Step 6: Final answer
    x = 2,496,812,806.12

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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.