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Finding the Third Proportional to 1,091,202,176 and 2,337,663,232

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Solution

The third proportional to 1,091,202,176 and 2,337,663,232 is: 5,007,934,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,202,176 : 2,337,663,232 = 2,337,663,232 : x
  2. Step 2: Convert to fraction form
    1,091,202,176/2,337,663,232 = 2,337,663,232/x
  3. Step 3: Cross multiply
    1,091,202,176x = 2,337,663,232 × 2,337,663,232
  4. Step 4: Simplify right side
    1,091,202,176x = 5,464,669,386,244,685,824
  5. Step 5: Solve for x
    x = 5,464,669,386,244,685,824/1,091,202,176
  6. Step 6: Final answer
    x = 5,007,934,832.28

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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.