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Finding the Third Proportional to 6,896,004 and 14,632,584

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Solution

The third proportional to 6,896,004 and 14,632,584 is: 31,048,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896,004 : 14,632,584 = 14,632,584 : x
  2. Step 2: Convert to fraction form
    6,896,004/14,632,584 = 14,632,584/x
  3. Step 3: Cross multiply
    6,896,004x = 14,632,584 × 14,632,584
  4. Step 4: Simplify right side
    6,896,004x = 214,112,514,517,056
  5. Step 5: Solve for x
    x = 214,112,514,517,056/6,896,004
  6. Step 6: Final answer
    x = 31,048,780.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.