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Finding the Third Proportional to 34,494,964 and 75,109,736

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Solution

The third proportional to 34,494,964 and 75,109,736 is: 163,544,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,494,964 : 75,109,736 = 75,109,736 : x
  2. Step 2: Convert to fraction form
    34,494,964/75,109,736 = 75,109,736/x
  3. Step 3: Cross multiply
    34,494,964x = 75,109,736 × 75,109,736
  4. Step 4: Simplify right side
    34,494,964x = 5,641,472,441,989,696
  5. Step 5: Solve for x
    x = 5,641,472,441,989,696/34,494,964
  6. Step 6: Final answer
    x = 163,544,813.15

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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.