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Finding the Third Proportional to 2,877,378 and 6,302,964

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Solution

The third proportional to 2,877,378 and 6,302,964 is: 13,806,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,378 : 6,302,964 = 6,302,964 : x
  2. Step 2: Convert to fraction form
    2,877,378/6,302,964 = 6,302,964/x
  3. Step 3: Cross multiply
    2,877,378x = 6,302,964 × 6,302,964
  4. Step 4: Simplify right side
    2,877,378x = 39,727,355,185,296
  5. Step 5: Solve for x
    x = 39,727,355,185,296/2,877,378
  6. Step 6: Final answer
    x = 13,806,790.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.