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Finding the Third Proportional to 545,601,098 and 1,168,831,636

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Solution

The third proportional to 545,601,098 and 1,168,831,636 is: 2,503,967,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,601,098 : 1,168,831,636 = 1,168,831,636 : x
  2. Step 2: Convert to fraction form
    545,601,098/1,168,831,636 = 1,168,831,636/x
  3. Step 3: Cross multiply
    545,601,098x = 1,168,831,636 × 1,168,831,636
  4. Step 4: Simplify right side
    545,601,098x = 1,366,167,393,314,436,608
  5. Step 5: Solve for x
    x = 1,366,167,393,314,436,608/545,601,098
  6. Step 6: Final answer
    x = 2,503,967,455.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.