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Finding the Third Proportional to 3,185,509 and 6,878,160

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Solution

The third proportional to 3,185,509 and 6,878,160 is: 14,851,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185,509 : 6,878,160 = 6,878,160 : x
  2. Step 2: Convert to fraction form
    3,185,509/6,878,160 = 6,878,160/x
  3. Step 3: Cross multiply
    3,185,509x = 6,878,160 × 6,878,160
  4. Step 4: Simplify right side
    3,185,509x = 47,309,084,985,600
  5. Step 5: Solve for x
    x = 47,309,084,985,600/3,185,509
  6. Step 6: Final answer
    x = 14,851,342.43

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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.