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Finding the Third Proportional to 372,535,738 and 783,685,150

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Solution

The third proportional to 372,535,738 and 783,685,150 is: 1,648,599,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,535,738 : 783,685,150 = 783,685,150 : x
  2. Step 2: Convert to fraction form
    372,535,738/783,685,150 = 783,685,150/x
  3. Step 3: Cross multiply
    372,535,738x = 783,685,150 × 783,685,150
  4. Step 4: Simplify right side
    372,535,738x = 614,162,414,330,522,496
  5. Step 5: Solve for x
    x = 614,162,414,330,522,496/372,535,738
  6. Step 6: Final answer
    x = 1,648,599,991.04

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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.