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Finding the Third Proportional to 465,862,932 and 730,738,224

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Solution

The third proportional to 465,862,932 and 730,738,224 is: 1,146,213,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,862,932 : 730,738,224 = 730,738,224 : x
  2. Step 2: Convert to fraction form
    465,862,932/730,738,224 = 730,738,224/x
  3. Step 3: Cross multiply
    465,862,932x = 730,738,224 × 730,738,224
  4. Step 4: Simplify right side
    465,862,932x = 533,978,352,014,674,176
  5. Step 5: Solve for x
    x = 533,978,352,014,674,176/465,862,932
  6. Step 6: Final answer
    x = 1,146,213,436.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.