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Finding the Third Proportional to 364,031,259 and 786,241,821

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Solution

The third proportional to 364,031,259 and 786,241,821 is: 1,698,140,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,031,259 : 786,241,821 = 786,241,821 : x
  2. Step 2: Convert to fraction form
    364,031,259/786,241,821 = 786,241,821/x
  3. Step 3: Cross multiply
    364,031,259x = 786,241,821 × 786,241,821
  4. Step 4: Simplify right side
    364,031,259x = 618,176,201,089,396,096
  5. Step 5: Solve for x
    x = 618,176,201,089,396,096/364,031,259
  6. Step 6: Final answer
    x = 1,698,140,436.59

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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.