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Finding the Third Proportional to 372,535,734 and 783,685,142

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Solution

The third proportional to 372,535,734 and 783,685,142 is: 1,648,599,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,535,734 : 783,685,142 = 783,685,142 : x
  2. Step 2: Convert to fraction form
    372,535,734/783,685,142 = 783,685,142/x
  3. Step 3: Cross multiply
    372,535,734x = 783,685,142 × 783,685,142
  4. Step 4: Simplify right side
    372,535,734x = 614,162,401,791,560,192
  5. Step 5: Solve for x
    x = 614,162,401,791,560,192/372,535,734
  6. Step 6: Final answer
    x = 1,648,599,975.09

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.