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Finding the Third Proportional to 11,199,098,190.38 and 23,995,594,728

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Solution

The third proportional to 11,199,098,190.38 and 23,995,594,728 is: 51,413,833,200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199,098,190.38 : 23,995,594,728 = 23,995,594,728 : x
  2. Step 2: Convert to fraction form
    11,199,098,190.38/23,995,594,728 = 23,995,594,728/x
  3. Step 3: Cross multiply
    11,199,098,190.38x = 23,995,594,728 × 23,995,594,728
  4. Step 4: Simplify right side
    11,199,098,190.38x = 575,788,566,350,421,426,176
  5. Step 5: Solve for x
    x = 575,788,566,350,421,426,176/11,199,098,190.38
  6. Step 6: Final answer
    x = 51,413,833,200.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.