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Finding the Third Proportional to 937,874,207.81 and 1,997,048,184.19

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Solution

The third proportional to 937,874,207.81 and 1,997,048,184.19 is: 4,252,384,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,874,207.81 : 1,997,048,184.19 = 1,997,048,184.19 : x
  2. Step 2: Convert to fraction form
    937,874,207.81/1,997,048,184.19 = 1,997,048,184.19/x
  3. Step 3: Cross multiply
    937,874,207.81x = 1,997,048,184.19 × 1,997,048,184.19
  4. Step 4: Simplify right side
    937,874,207.81x = 3,988,201,449,966,590,976
  5. Step 5: Solve for x
    x = 3,988,201,449,966,590,976/937,874,207.81
  6. Step 6: Final answer
    x = 4,252,384,186.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.