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Finding the Third Proportional to 6,428,164 and 9,725,190

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Solution

The third proportional to 6,428,164 and 9,725,190 is: 14,713,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428,164 : 9,725,190 = 9,725,190 : x
  2. Step 2: Convert to fraction form
    6,428,164/9,725,190 = 9,725,190/x
  3. Step 3: Cross multiply
    6,428,164x = 9,725,190 × 9,725,190
  4. Step 4: Simplify right side
    6,428,164x = 94,579,320,536,100
  5. Step 5: Solve for x
    x = 94,579,320,536,100/6,428,164
  6. Step 6: Final answer
    x = 14,713,271.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.