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Finding the Third Proportional to 30,541,464 and 65,865,168

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Solution

The third proportional to 30,541,464 and 65,865,168 is: 142,043,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541,464 : 65,865,168 = 65,865,168 : x
  2. Step 2: Convert to fraction form
    30,541,464/65,865,168 = 65,865,168/x
  3. Step 3: Cross multiply
    30,541,464x = 65,865,168 × 65,865,168
  4. Step 4: Simplify right side
    30,541,464x = 4,338,220,355,668,224
  5. Step 5: Solve for x
    x = 4,338,220,355,668,224/30,541,464
  6. Step 6: Final answer
    x = 142,043,628.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.