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Finding the Third Proportional to 6,509,460 and 14,176,152

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Solution

The third proportional to 6,509,460 and 14,176,152 is: 30,872,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,460 : 14,176,152 = 14,176,152 : x
  2. Step 2: Convert to fraction form
    6,509,460/14,176,152 = 14,176,152/x
  3. Step 3: Cross multiply
    6,509,460x = 14,176,152 × 14,176,152
  4. Step 4: Simplify right side
    6,509,460x = 200,963,285,527,104
  5. Step 5: Solve for x
    x = 200,963,285,527,104/6,509,460
  6. Step 6: Final answer
    x = 30,872,497.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.