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Finding the Third Proportional to 9,447,840 and 20,076,660

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Solution

The third proportional to 9,447,840 and 20,076,660 is: 42,662,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,840 : 20,076,660 = 20,076,660 : x
  2. Step 2: Convert to fraction form
    9,447,840/20,076,660 = 20,076,660/x
  3. Step 3: Cross multiply
    9,447,840x = 20,076,660 × 20,076,660
  4. Step 4: Simplify right side
    9,447,840x = 403,072,276,755,600
  5. Step 5: Solve for x
    x = 403,072,276,755,600/9,447,840
  6. Step 6: Final answer
    x = 42,662,902.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.