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Finding the Third Proportional to 9,447,848 and 20,076,676

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Solution

The third proportional to 9,447,848 and 20,076,676 is: 42,662,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,848 : 20,076,676 = 20,076,676 : x
  2. Step 2: Convert to fraction form
    9,447,848/20,076,676 = 20,076,676/x
  3. Step 3: Cross multiply
    9,447,848x = 20,076,676 × 20,076,676
  4. Step 4: Simplify right side
    9,447,848x = 403,072,919,208,976
  5. Step 5: Solve for x
    x = 403,072,919,208,976/9,447,848
  6. Step 6: Final answer
    x = 42,662,934.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.