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Finding the Third Proportional to 972,945,537.75 and 1,453,042,671.75

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Solution

The third proportional to 972,945,537.75 and 1,453,042,671.75 is: 2,170,042,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,945,537.75 : 1,453,042,671.75 = 1,453,042,671.75 : x
  2. Step 2: Convert to fraction form
    972,945,537.75/1,453,042,671.75 = 1,453,042,671.75/x
  3. Step 3: Cross multiply
    972,945,537.75x = 1,453,042,671.75 × 1,453,042,671.75
  4. Step 4: Simplify right side
    972,945,537.75x = 2,111,333,005,926,378,240
  5. Step 5: Solve for x
    x = 2,111,333,005,926,378,240/972,945,537.75
  6. Step 6: Final answer
    x = 2,170,042,334.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.