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Finding the Third Proportional to 733,097,390,272 and 1,578,234,882,316

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Solution

The third proportional to 733,097,390,272 and 1,578,234,882,316 is: 3,397,673,183,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,097,390,272 : 1,578,234,882,316 = 1,578,234,882,316 : x
  2. Step 2: Convert to fraction form
    733,097,390,272/1,578,234,882,316 = 1,578,234,882,316/x
  3. Step 3: Cross multiply
    733,097,390,272x = 1,578,234,882,316 × 1,578,234,882,316
  4. Step 4: Simplify right side
    733,097,390,272x = 2,490,825,343,758,998,173,646,848
  5. Step 5: Solve for x
    x = 2,490,825,343,758,998,173,646,848/733,097,390,272
  6. Step 6: Final answer
    x = 3,397,673,183,415.41

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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.