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Finding the Third Proportional to 447,450,803.63 and 907,660,112.63

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Solution

The third proportional to 447,450,803.63 and 907,660,112.63 is: 1,841,201,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,450,803.63 : 907,660,112.63 = 907,660,112.63 : x
  2. Step 2: Convert to fraction form
    447,450,803.63/907,660,112.63 = 907,660,112.63/x
  3. Step 3: Cross multiply
    447,450,803.63x = 907,660,112.63 × 907,660,112.63
  4. Step 4: Simplify right side
    447,450,803.63x = 823,846,880,050,427,648
  5. Step 5: Solve for x
    x = 823,846,880,050,427,648/447,450,803.63
  6. Step 6: Final answer
    x = 1,841,201,028.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.