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Finding the Third Proportional to 51,829,636 and 113,421,032

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Solution

The third proportional to 51,829,636 and 113,421,032 is: 248,204,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,636 : 113,421,032 = 113,421,032 : x
  2. Step 2: Convert to fraction form
    51,829,636/113,421,032 = 113,421,032/x
  3. Step 3: Cross multiply
    51,829,636x = 113,421,032 × 113,421,032
  4. Step 4: Simplify right side
    51,829,636x = 12,864,330,499,945,024
  5. Step 5: Solve for x
    x = 12,864,330,499,945,024/51,829,636
  6. Step 6: Final answer
    x = 248,204,145.21

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