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Finding the Third Proportional to 523,048,752 and 1,100,305,944

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Solution

The third proportional to 523,048,752 and 1,100,305,944 is: 2,314,646,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,048,752 : 1,100,305,944 = 1,100,305,944 : x
  2. Step 2: Convert to fraction form
    523,048,752/1,100,305,944 = 1,100,305,944/x
  3. Step 3: Cross multiply
    523,048,752x = 1,100,305,944 × 1,100,305,944
  4. Step 4: Simplify right side
    523,048,752x = 1,210,673,170,401,731,072
  5. Step 5: Solve for x
    x = 1,210,673,170,401,731,072/523,048,752
  6. Step 6: Final answer
    x = 2,314,646,896.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.