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Finding the Third Proportional to 3,080,688 and 6,869,712

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Solution

The third proportional to 3,080,688 and 6,869,712 is: 15,318,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080,688 : 6,869,712 = 6,869,712 : x
  2. Step 2: Convert to fraction form
    3,080,688/6,869,712 = 6,869,712/x
  3. Step 3: Cross multiply
    3,080,688x = 6,869,712 × 6,869,712
  4. Step 4: Simplify right side
    3,080,688x = 47,192,942,962,944
  5. Step 5: Solve for x
    x = 47,192,942,962,944/3,080,688
  6. Step 6: Final answer
    x = 15,318,962.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.