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Finding the Third Proportional to 34,497,576 and 75,994,902

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Solution

The third proportional to 34,497,576 and 75,994,902 is: 167,409,592.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,497,576 : 75,994,902 = 75,994,902 : x
  2. Step 2: Convert to fraction form
    34,497,576/75,994,902 = 75,994,902/x
  3. Step 3: Cross multiply
    34,497,576x = 75,994,902 × 75,994,902
  4. Step 4: Simplify right side
    34,497,576x = 5,775,225,129,989,604
  5. Step 5: Solve for x
    x = 5,775,225,129,989,604/34,497,576
  6. Step 6: Final answer
    x = 167,409,592.20

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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.