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Finding the Third Proportional to 34,219,964 and 76,090,756

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Solution

The third proportional to 34,219,964 and 76,090,756 is: 169,193,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,219,964 : 76,090,756 = 76,090,756 : x
  2. Step 2: Convert to fraction form
    34,219,964/76,090,756 = 76,090,756/x
  3. Step 3: Cross multiply
    34,219,964x = 76,090,756 × 76,090,756
  4. Step 4: Simplify right side
    34,219,964x = 5,789,803,148,651,536
  5. Step 5: Solve for x
    x = 5,789,803,148,651,536/34,219,964
  6. Step 6: Final answer
    x = 169,193,724.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.