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Finding the Third Proportional to 51,829,632 and 113,421,024

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Solution

The third proportional to 51,829,632 and 113,421,024 is: 248,204,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,632 : 113,421,024 = 113,421,024 : x
  2. Step 2: Convert to fraction form
    51,829,632/113,421,024 = 113,421,024/x
  3. Step 3: Cross multiply
    51,829,632x = 113,421,024 × 113,421,024
  4. Step 4: Simplify right side
    51,829,632x = 12,864,328,685,208,576
  5. Step 5: Solve for x
    x = 12,864,328,685,208,576/51,829,632
  6. Step 6: Final answer
    x = 248,204,129.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.