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Finding the Third Proportional to 922,188,336.19 and 1,976,174,040.38

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Solution

The third proportional to 922,188,336.19 and 1,976,174,040.38 is: 4,234,779,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,188,336.19 : 1,976,174,040.38 = 1,976,174,040.38 : x
  2. Step 2: Convert to fraction form
    922,188,336.19/1,976,174,040.38 = 1,976,174,040.38/x
  3. Step 3: Cross multiply
    922,188,336.19x = 1,976,174,040.38 × 1,976,174,040.38
  4. Step 4: Simplify right side
    922,188,336.19x = 3,905,263,837,852,051,968
  5. Step 5: Solve for x
    x = 3,905,263,837,852,051,968/922,188,336.19
  6. Step 6: Final answer
    x = 4,234,779,040.90

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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.