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Finding the Third Proportional to 508,673,594.12 and 1,101,872,997.84

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Solution

The third proportional to 508,673,594.12 and 1,101,872,997.84 is: 2,386,843,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,673,594.12 : 1,101,872,997.84 = 1,101,872,997.84 : x
  2. Step 2: Convert to fraction form
    508,673,594.12/1,101,872,997.84 = 1,101,872,997.84/x
  3. Step 3: Cross multiply
    508,673,594.12x = 1,101,872,997.84 × 1,101,872,997.84
  4. Step 4: Simplify right side
    508,673,594.12x = 1,214,124,103,377,283,072
  5. Step 5: Solve for x
    x = 1,214,124,103,377,283,072/508,673,594.12
  6. Step 6: Final answer
    x = 2,386,843,188.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.