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Finding the Third Proportional to 8,111,316,864 and 17,386,764,864

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Solution

The third proportional to 8,111,316,864 and 17,386,764,864 is: 37,268,867,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111,316,864 : 17,386,764,864 = 17,386,764,864 : x
  2. Step 2: Convert to fraction form
    8,111,316,864/17,386,764,864 = 17,386,764,864/x
  3. Step 3: Cross multiply
    8,111,316,864x = 17,386,764,864 × 17,386,764,864
  4. Step 4: Simplify right side
    8,111,316,864x = 302,299,592,436,024,934,400
  5. Step 5: Solve for x
    x = 302,299,592,436,024,934,400/8,111,316,864
  6. Step 6: Final answer
    x = 37,268,867,374.38

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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.