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Finding the Third Proportional to 446,076,300 and 966,289,788

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Solution

The third proportional to 446,076,300 and 966,289,788 is: 2,093,175,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,076,300 : 966,289,788 = 966,289,788 : x
  2. Step 2: Convert to fraction form
    446,076,300/966,289,788 = 966,289,788/x
  3. Step 3: Cross multiply
    446,076,300x = 966,289,788 × 966,289,788
  4. Step 4: Simplify right side
    446,076,300x = 933,715,954,393,084,928
  5. Step 5: Solve for x
    x = 933,715,954,393,084,928/446,076,300
  6. Step 6: Final answer
    x = 2,093,175,437.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.