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Finding the Third Proportional to 74,313,271 and 155,402,408

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Solution

The third proportional to 74,313,271 and 155,402,408 is: 324,974,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,313,271 : 155,402,408 = 155,402,408 : x
  2. Step 2: Convert to fraction form
    74,313,271/155,402,408 = 155,402,408/x
  3. Step 3: Cross multiply
    74,313,271x = 155,402,408 × 155,402,408
  4. Step 4: Simplify right side
    74,313,271x = 24,149,908,412,198,464
  5. Step 5: Solve for x
    x = 24,149,908,412,198,464/74,313,271
  6. Step 6: Final answer
    x = 324,974,369.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.