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Finding the Third Proportional to 177,510,718,868 and 380,155,421,512

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Solution

The third proportional to 177,510,718,868 and 380,155,421,512 is: 814,137,565,475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,510,718,868 : 380,155,421,512 = 380,155,421,512 : x
  2. Step 2: Convert to fraction form
    177,510,718,868/380,155,421,512 = 380,155,421,512/x
  3. Step 3: Cross multiply
    177,510,718,868x = 380,155,421,512 × 380,155,421,512
  4. Step 4: Simplify right side
    177,510,718,868x = 144,518,144,504,966,384,975,872
  5. Step 5: Solve for x
    x = 144,518,144,504,966,384,975,872/177,510,718,868
  6. Step 6: Final answer
    x = 814,137,565,475.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.