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Finding the Third Proportional to 2,020,198,897 and 4,720,096,177

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Solution

The third proportional to 2,020,198,897 and 4,720,096,177 is: 11,028,274,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020,198,897 : 4,720,096,177 = 4,720,096,177 : x
  2. Step 2: Convert to fraction form
    2,020,198,897/4,720,096,177 = 4,720,096,177/x
  3. Step 3: Cross multiply
    2,020,198,897x = 4,720,096,177 × 4,720,096,177
  4. Step 4: Simplify right side
    2,020,198,897x = 22,279,307,920,130,015,232
  5. Step 5: Solve for x
    x = 22,279,307,920,130,015,232/2,020,198,897
  6. Step 6: Final answer
    x = 11,028,274,470.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.