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Finding the Third Proportional to 18,274,208,112 and 24,656,197,536

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Solution

The third proportional to 18,274,208,112 and 24,656,197,536 is: 33,266,999,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274,208,112 : 24,656,197,536 = 24,656,197,536 : x
  2. Step 2: Convert to fraction form
    18,274,208,112/24,656,197,536 = 24,656,197,536/x
  3. Step 3: Cross multiply
    18,274,208,112x = 24,656,197,536 × 24,656,197,536
  4. Step 4: Simplify right side
    18,274,208,112x = 607,928,076,934,252,462,080
  5. Step 5: Solve for x
    x = 607,928,076,934,252,462,080/18,274,208,112
  6. Step 6: Final answer
    x = 33,266,999,763.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.