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Finding the Third Proportional to 1,048,129,362 and 2,243,495,976

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Solution

The third proportional to 1,048,129,362 and 2,243,495,976 is: 4,802,149,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,129,362 : 2,243,495,976 = 2,243,495,976 : x
  2. Step 2: Convert to fraction form
    1,048,129,362/2,243,495,976 = 2,243,495,976/x
  3. Step 3: Cross multiply
    1,048,129,362x = 2,243,495,976 × 2,243,495,976
  4. Step 4: Simplify right side
    1,048,129,362x = 5,033,274,194,328,193,024
  5. Step 5: Solve for x
    x = 5,033,274,194,328,193,024/1,048,129,362
  6. Step 6: Final answer
    x = 4,802,149,788.77

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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.