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Finding the Third Proportional to 30,460,624 and 66,477,616

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Solution

The third proportional to 30,460,624 and 66,477,616 is: 145,081,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460,624 : 66,477,616 = 66,477,616 : x
  2. Step 2: Convert to fraction form
    30,460,624/66,477,616 = 66,477,616/x
  3. Step 3: Cross multiply
    30,460,624x = 66,477,616 × 66,477,616
  4. Step 4: Simplify right side
    30,460,624x = 4,419,273,429,043,456
  5. Step 5: Solve for x
    x = 4,419,273,429,043,456/30,460,624
  6. Step 6: Final answer
    x = 145,081,513.40

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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.