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Finding the Third Proportional to 6,418,112 and 14,095,728

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Solution

The third proportional to 6,418,112 and 14,095,728 is: 30,957,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418,112 : 14,095,728 = 14,095,728 : x
  2. Step 2: Convert to fraction form
    6,418,112/14,095,728 = 14,095,728/x
  3. Step 3: Cross multiply
    6,418,112x = 14,095,728 × 14,095,728
  4. Step 4: Simplify right side
    6,418,112x = 198,689,547,849,984
  5. Step 5: Solve for x
    x = 198,689,547,849,984/6,418,112
  6. Step 6: Final answer
    x = 30,957,631.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.