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Finding the Third Proportional to 18,828,465,025 and 40,966,507,404

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Solution

The third proportional to 18,828,465,025 and 40,966,507,404 is: 89,133,911,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,828,465,025 : 40,966,507,404 = 40,966,507,404 : x
  2. Step 2: Convert to fraction form
    18,828,465,025/40,966,507,404 = 40,966,507,404/x
  3. Step 3: Cross multiply
    18,828,465,025x = 40,966,507,404 × 40,966,507,404
  4. Step 4: Simplify right side
    18,828,465,025x = 1,678,254,728,881,986,863,104
  5. Step 5: Solve for x
    x = 1,678,254,728,881,986,863,104/18,828,465,025
  6. Step 6: Final answer
    x = 89,133,911,163.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.