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Finding the Third Proportional to 34,149,402 and 74,539,530

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Solution

The third proportional to 34,149,402 and 74,539,530 is: 162,700,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,149,402 : 74,539,530 = 74,539,530 : x
  2. Step 2: Convert to fraction form
    34,149,402/74,539,530 = 74,539,530/x
  3. Step 3: Cross multiply
    34,149,402x = 74,539,530 × 74,539,530
  4. Step 4: Simplify right side
    34,149,402x = 5,556,141,532,620,900
  5. Step 5: Solve for x
    x = 5,556,141,532,620,900/34,149,402
  6. Step 6: Final answer
    x = 162,700,990.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.