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Finding the Third Proportional to 7,539,166 and 16,460,909

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Solution

The third proportional to 7,539,166 and 16,460,909 is: 35,940,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539,166 : 16,460,909 = 16,460,909 : x
  2. Step 2: Convert to fraction form
    7,539,166/16,460,909 = 16,460,909/x
  3. Step 3: Cross multiply
    7,539,166x = 16,460,909 × 16,460,909
  4. Step 4: Simplify right side
    7,539,166x = 270,961,525,106,281
  5. Step 5: Solve for x
    x = 270,961,525,106,281/7,539,166
  6. Step 6: Final answer
    x = 35,940,517.17

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Why These Related Problems?

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