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Finding the Third Proportional to 1,090,494,374 and 2,347,270,732

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Solution

The third proportional to 1,090,494,374 and 2,347,270,732 is: 5,052,460,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,494,374 : 2,347,270,732 = 2,347,270,732 : x
  2. Step 2: Convert to fraction form
    1,090,494,374/2,347,270,732 = 2,347,270,732/x
  3. Step 3: Cross multiply
    1,090,494,374x = 2,347,270,732 × 2,347,270,732
  4. Step 4: Simplify right side
    1,090,494,374x = 5,509,679,889,303,816,192
  5. Step 5: Solve for x
    x = 5,509,679,889,303,816,192/1,090,494,374
  6. Step 6: Final answer
    x = 5,052,460,627.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.