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Finding the Third Proportional to 171,974,860,989.70 and 374,143,374,447.65

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Solution

The third proportional to 171,974,860,989.70 and 374,143,374,447.65 is: 813,975,157,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,974,860,989.70 : 374,143,374,447.65 = 374,143,374,447.65 : x
  2. Step 2: Convert to fraction form
    171,974,860,989.70/374,143,374,447.65 = 374,143,374,447.65/x
  3. Step 3: Cross multiply
    171,974,860,989.70x = 374,143,374,447.65 × 374,143,374,447.65
  4. Step 4: Simplify right side
    171,974,860,989.70x = 139,983,264,643,074,454,716,416
  5. Step 5: Solve for x
    x = 139,983,264,643,074,454,716,416/171,974,860,989.70
  6. Step 6: Final answer
    x = 813,975,157,982.30

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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.