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Finding the Third Proportional to 177,510,718,864 and 380,155,421,503

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Solution

The third proportional to 177,510,718,864 and 380,155,421,503 is: 814,137,565,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,510,718,864 : 380,155,421,503 = 380,155,421,503 : x
  2. Step 2: Convert to fraction form
    177,510,718,864/380,155,421,503 = 380,155,421,503/x
  3. Step 3: Cross multiply
    177,510,718,864x = 380,155,421,503 × 380,155,421,503
  4. Step 4: Simplify right side
    177,510,718,864x = 144,518,144,498,123,596,103,680
  5. Step 5: Solve for x
    x = 144,518,144,498,123,596,103,680/177,510,718,864
  6. Step 6: Final answer
    x = 814,137,565,455.11

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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.