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Finding the Third Proportional to 937,608,201 and 1,379,308,621.50

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Solution

The third proportional to 937,608,201 and 1,379,308,621.50 is: 2,029,090,905.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,608,201 : 1,379,308,621.50 = 1,379,308,621.50 : x
  2. Step 2: Convert to fraction form
    937,608,201/1,379,308,621.50 = 1,379,308,621.50/x
  3. Step 3: Cross multiply
    937,608,201x = 1,379,308,621.50 × 1,379,308,621.50
  4. Step 4: Simplify right side
    937,608,201x = 1,902,492,273,344,230,144
  5. Step 5: Solve for x
    x = 1,902,492,273,344,230,144/937,608,201
  6. Step 6: Final answer
    x = 2,029,090,905.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.