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Finding the Third Proportional to 362,856,129 and 560,328,024

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Solution

The third proportional to 362,856,129 and 560,328,024 is: 865,267,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,856,129 : 560,328,024 = 560,328,024 : x
  2. Step 2: Convert to fraction form
    362,856,129/560,328,024 = 560,328,024/x
  3. Step 3: Cross multiply
    362,856,129x = 560,328,024 × 560,328,024
  4. Step 4: Simplify right side
    362,856,129x = 313,967,494,479,744,576
  5. Step 5: Solve for x
    x = 313,967,494,479,744,576/362,856,129
  6. Step 6: Final answer
    x = 865,267,166.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.