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Finding the Third Proportional to 9,096,740.13 and 19,728,331.38

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Solution

The third proportional to 9,096,740.13 and 19,728,331.38 is: 42,785,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096,740.13 : 19,728,331.38 = 19,728,331.38 : x
  2. Step 2: Convert to fraction form
    9,096,740.13/19,728,331.38 = 19,728,331.38/x
  3. Step 3: Cross multiply
    9,096,740.13x = 19,728,331.38 × 19,728,331.38
  4. Step 4: Simplify right side
    9,096,740.13x = 389,207,058,841,809.38
  5. Step 5: Solve for x
    x = 389,207,058,841,809.38/9,096,740.13
  6. Step 6: Final answer
    x = 42,785,333.37

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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.