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Finding the Third Proportional to 13,878,276.75 and 30,073,300.31

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Solution

The third proportional to 13,878,276.75 and 30,073,300.31 is: 65,166,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878,276.75 : 30,073,300.31 = 30,073,300.31 : x
  2. Step 2: Convert to fraction form
    13,878,276.75/30,073,300.31 = 30,073,300.31/x
  3. Step 3: Cross multiply
    13,878,276.75x = 30,073,300.31 × 30,073,300.31
  4. Step 4: Simplify right side
    13,878,276.75x = 904,403,391,685,812.62
  5. Step 5: Solve for x
    x = 904,403,391,685,812.62/13,878,276.75
  6. Step 6: Final answer
    x = 65,166,836.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.