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Finding the Third Proportional to 29,791,824 and 45,554,086

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Solution

The third proportional to 29,791,824 and 45,554,086 is: 69,655,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,791,824 : 45,554,086 = 45,554,086 : x
  2. Step 2: Convert to fraction form
    29,791,824/45,554,086 = 45,554,086/x
  3. Step 3: Cross multiply
    29,791,824x = 45,554,086 × 45,554,086
  4. Step 4: Simplify right side
    29,791,824x = 2,075,174,751,295,396
  5. Step 5: Solve for x
    x = 2,075,174,751,295,396/29,791,824
  6. Step 6: Final answer
    x = 69,655,847.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.