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Finding the Third Proportional to 9,460,116 and 14,615,727

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Solution

The third proportional to 9,460,116 and 14,615,727 is: 22,581,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460,116 : 14,615,727 = 14,615,727 : x
  2. Step 2: Convert to fraction form
    9,460,116/14,615,727 = 14,615,727/x
  3. Step 3: Cross multiply
    9,460,116x = 14,615,727 × 14,615,727
  4. Step 4: Simplify right side
    9,460,116x = 213,619,475,738,529
  5. Step 5: Solve for x
    x = 213,619,475,738,529/9,460,116
  6. Step 6: Final answer
    x = 22,581,063.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.