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Finding the Third Proportional to 6,309,810 and 13,725,160

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Solution

The third proportional to 6,309,810 and 13,725,160 is: 29,855,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309,810 : 13,725,160 = 13,725,160 : x
  2. Step 2: Convert to fraction form
    6,309,810/13,725,160 = 13,725,160/x
  3. Step 3: Cross multiply
    6,309,810x = 13,725,160 × 13,725,160
  4. Step 4: Simplify right side
    6,309,810x = 188,380,017,025,600
  5. Step 5: Solve for x
    x = 188,380,017,025,600/6,309,810
  6. Step 6: Final answer
    x = 29,855,101.35

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