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Finding the Third Proportional to 6,648,639 and 14,558,395

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Solution

The third proportional to 6,648,639 and 14,558,395 is: 31,878,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648,639 : 14,558,395 = 14,558,395 : x
  2. Step 2: Convert to fraction form
    6,648,639/14,558,395 = 14,558,395/x
  3. Step 3: Cross multiply
    6,648,639x = 14,558,395 × 14,558,395
  4. Step 4: Simplify right side
    6,648,639x = 211,946,864,976,025
  5. Step 5: Solve for x
    x = 211,946,864,976,025/6,648,639
  6. Step 6: Final answer
    x = 31,878,233.27

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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.