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Finding the Third Proportional to 171,974,860,995.02 and 374,143,374,457.38

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Solution

The third proportional to 171,974,860,995.02 and 374,143,374,457.38 is: 813,975,157,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,974,860,995.02 : 374,143,374,457.38 = 374,143,374,457.38 : x
  2. Step 2: Convert to fraction form
    171,974,860,995.02/374,143,374,457.38 = 374,143,374,457.38/x
  3. Step 3: Cross multiply
    171,974,860,995.02x = 374,143,374,457.38 × 374,143,374,457.38
  4. Step 4: Simplify right side
    171,974,860,995.02x = 139,983,264,650,355,279,921,152
  5. Step 5: Solve for x
    x = 139,983,264,650,355,279,921,152/171,974,860,995.02
  6. Step 6: Final answer
    x = 813,975,157,999.45

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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.