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Finding the Third Proportional to 18,890,362,050 and 41,339,270,534

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Solution

The third proportional to 18,890,362,050 and 41,339,270,534 is: 90,465,989,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,890,362,050 : 41,339,270,534 = 41,339,270,534 : x
  2. Step 2: Convert to fraction form
    18,890,362,050/41,339,270,534 = 41,339,270,534/x
  3. Step 3: Cross multiply
    18,890,362,050x = 41,339,270,534 × 41,339,270,534
  4. Step 4: Simplify right side
    18,890,362,050x = 1,708,935,288,283,240,595,456
  5. Step 5: Solve for x
    x = 1,708,935,288,283,240,595,456/18,890,362,050
  6. Step 6: Final answer
    x = 90,465,989,151.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.