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Finding the Third Proportional to 343,823,811 and 742,096,830

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Solution

The third proportional to 343,823,811 and 742,096,830 is: 1,601,714,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,823,811 : 742,096,830 = 742,096,830 : x
  2. Step 2: Convert to fraction form
    343,823,811/742,096,830 = 742,096,830/x
  3. Step 3: Cross multiply
    343,823,811x = 742,096,830 × 742,096,830
  4. Step 4: Simplify right side
    343,823,811x = 550,707,705,096,048,896
  5. Step 5: Solve for x
    x = 550,707,705,096,048,896/343,823,811
  6. Step 6: Final answer
    x = 1,601,714,853.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.