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Finding the Third Proportional to 429,360,372 and 943,069,824

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Solution

The third proportional to 429,360,372 and 943,069,824 is: 2,071,408,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,360,372 : 943,069,824 = 943,069,824 : x
  2. Step 2: Convert to fraction form
    429,360,372/943,069,824 = 943,069,824/x
  3. Step 3: Cross multiply
    429,360,372x = 943,069,824 × 943,069,824
  4. Step 4: Simplify right side
    429,360,372x = 889,380,692,939,390,976
  5. Step 5: Solve for x
    x = 889,380,692,939,390,976/429,360,372
  6. Step 6: Final answer
    x = 2,071,408,427.37

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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.