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Finding the Third Proportional to 33,948,423 and 69,465,655

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Solution

The third proportional to 33,948,423 and 69,465,655 is: 142,141,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,948,423 : 69,465,655 = 69,465,655 : x
  2. Step 2: Convert to fraction form
    33,948,423/69,465,655 = 69,465,655/x
  3. Step 3: Cross multiply
    33,948,423x = 69,465,655 × 69,465,655
  4. Step 4: Simplify right side
    33,948,423x = 4,825,477,224,579,025
  5. Step 5: Solve for x
    x = 4,825,477,224,579,025/33,948,423
  6. Step 6: Final answer
    x = 142,141,425.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.