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Finding the Third Proportional to 246,285,071 and 535,438,622

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Solution

The third proportional to 246,285,071 and 535,438,622 is: 1,164,075,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,285,071 : 535,438,622 = 535,438,622 : x
  2. Step 2: Convert to fraction form
    246,285,071/535,438,622 = 535,438,622/x
  3. Step 3: Cross multiply
    246,285,071x = 535,438,622 × 535,438,622
  4. Step 4: Simplify right side
    246,285,071x = 286,694,517,929,258,880
  5. Step 5: Solve for x
    x = 286,694,517,929,258,880/246,285,071
  6. Step 6: Final answer
    x = 1,164,075,909.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.