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Finding the Third Proportional to 3,185,516 and 6,878,174

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Solution

The third proportional to 3,185,516 and 6,878,174 is: 14,851,370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185,516 : 6,878,174 = 6,878,174 : x
  2. Step 2: Convert to fraction form
    3,185,516/6,878,174 = 6,878,174/x
  3. Step 3: Cross multiply
    3,185,516x = 6,878,174 × 6,878,174
  4. Step 4: Simplify right side
    3,185,516x = 47,309,277,574,276
  5. Step 5: Solve for x
    x = 47,309,277,574,276/3,185,516
  6. Step 6: Final answer
    x = 14,851,370.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.