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Finding the Third Proportional to 2,526,836,818 and 5,453,200,813

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Solution

The third proportional to 2,526,836,818 and 5,453,200,813 is: 11,768,626,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526,836,818 : 5,453,200,813 = 5,453,200,813 : x
  2. Step 2: Convert to fraction form
    2,526,836,818/5,453,200,813 = 5,453,200,813/x
  3. Step 3: Cross multiply
    2,526,836,818x = 5,453,200,813 × 5,453,200,813
  4. Step 4: Simplify right side
    2,526,836,818x = 29,737,399,106,903,859,200
  5. Step 5: Solve for x
    x = 29,737,399,106,903,859,200/2,526,836,818
  6. Step 6: Final answer
    x = 11,768,626,646.20

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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.