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Finding the Third Proportional to 3,185,522 and 6,878,184

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Solution

The third proportional to 3,185,522 and 6,878,184 is: 14,851,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185,522 : 6,878,184 = 6,878,184 : x
  2. Step 2: Convert to fraction form
    3,185,522/6,878,184 = 6,878,184/x
  3. Step 3: Cross multiply
    3,185,522x = 6,878,184 × 6,878,184
  4. Step 4: Simplify right side
    3,185,522x = 47,309,415,137,856
  5. Step 5: Solve for x
    x = 47,309,415,137,856/3,185,522
  6. Step 6: Final answer
    x = 14,851,385.47

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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.