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Finding the Third Proportional to 34,354,964 and 74,673,796

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Solution

The third proportional to 34,354,964 and 74,673,796 is: 162,310,628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,354,964 : 74,673,796 = 74,673,796 : x
  2. Step 2: Convert to fraction form
    34,354,964/74,673,796 = 74,673,796/x
  3. Step 3: Cross multiply
    34,354,964x = 74,673,796 × 74,673,796
  4. Step 4: Simplify right side
    34,354,964x = 5,576,175,809,049,616
  5. Step 5: Solve for x
    x = 5,576,175,809,049,616/34,354,964
  6. Step 6: Final answer
    x = 162,310,628.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.