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Finding the Third Proportional to 1,048,129,364 and 2,243,495,980

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Solution

The third proportional to 1,048,129,364 and 2,243,495,980 is: 4,802,149,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,129,364 : 2,243,495,980 = 2,243,495,980 : x
  2. Step 2: Convert to fraction form
    1,048,129,364/2,243,495,980 = 2,243,495,980/x
  3. Step 3: Cross multiply
    1,048,129,364x = 2,243,495,980 × 2,243,495,980
  4. Step 4: Simplify right side
    1,048,129,364x = 5,033,274,212,276,160,512
  5. Step 5: Solve for x
    x = 5,033,274,212,276,160,512/1,048,129,364
  6. Step 6: Final answer
    x = 4,802,149,796.73

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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.