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Finding the Third Proportional to 1,537,792,815 and 3,355,028,232

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Solution

The third proportional to 1,537,792,815 and 3,355,028,232 is: 7,319,721,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,792,815 : 3,355,028,232 = 3,355,028,232 : x
  2. Step 2: Convert to fraction form
    1,537,792,815/3,355,028,232 = 3,355,028,232/x
  3. Step 3: Cross multiply
    1,537,792,815x = 3,355,028,232 × 3,355,028,232
  4. Step 4: Simplify right side
    1,537,792,815x = 11,256,214,437,517,045,760
  5. Step 5: Solve for x
    x = 11,256,214,437,517,045,760/1,537,792,815
  6. Step 6: Final answer
    x = 7,319,721,049.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.