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Finding the Third Proportional to 34,743,172 and 76,338,944

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Solution

The third proportional to 34,743,172 and 76,338,944 is: 167,734,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,743,172 : 76,338,944 = 76,338,944 : x
  2. Step 2: Convert to fraction form
    34,743,172/76,338,944 = 76,338,944/x
  3. Step 3: Cross multiply
    34,743,172x = 76,338,944 × 76,338,944
  4. Step 4: Simplify right side
    34,743,172x = 5,827,634,371,035,136
  5. Step 5: Solve for x
    x = 5,827,634,371,035,136/34,743,172
  6. Step 6: Final answer
    x = 167,734,666.57

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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.