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Finding the Third Proportional to 6,525,728 and 14,312,128

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Solution

The third proportional to 6,525,728 and 14,312,128 is: 31,389,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525,728 : 14,312,128 = 14,312,128 : x
  2. Step 2: Convert to fraction form
    6,525,728/14,312,128 = 14,312,128/x
  3. Step 3: Cross multiply
    6,525,728x = 14,312,128 × 14,312,128
  4. Step 4: Simplify right side
    6,525,728x = 204,837,007,888,384
  5. Step 5: Solve for x
    x = 204,837,007,888,384/6,525,728
  6. Step 6: Final answer
    x = 31,389,142.77

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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.