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Finding the Third Proportional to 30,858,764 and 42,031,075

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Solution

The third proportional to 30,858,764 and 42,031,075 is: 57,248,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858,764 : 42,031,075 = 42,031,075 : x
  2. Step 2: Convert to fraction form
    30,858,764/42,031,075 = 42,031,075/x
  3. Step 3: Cross multiply
    30,858,764x = 42,031,075 × 42,031,075
  4. Step 4: Simplify right side
    30,858,764x = 1,766,611,265,655,625
  5. Step 5: Solve for x
    x = 1,766,611,265,655,625/30,858,764
  6. Step 6: Final answer
    x = 57,248,283.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.