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Finding the Third Proportional to 46,611,504 and 102,473,536

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Solution

The third proportional to 46,611,504 and 102,473,536 is: 225,283,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,611,504 : 102,473,536 = 102,473,536 : x
  2. Step 2: Convert to fraction form
    46,611,504/102,473,536 = 102,473,536/x
  3. Step 3: Cross multiply
    46,611,504x = 102,473,536 × 102,473,536
  4. Step 4: Simplify right side
    46,611,504x = 10,500,825,580,343,296
  5. Step 5: Solve for x
    x = 10,500,825,580,343,296/46,611,504
  6. Step 6: Final answer
    x = 225,283,989.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.