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Finding the Third Proportional to 171,974,860,995.02 and 374,143,374,457.35

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Solution

The third proportional to 171,974,860,995.02 and 374,143,374,457.35 is: 813,975,157,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,974,860,995.02 : 374,143,374,457.35 = 374,143,374,457.35 : x
  2. Step 2: Convert to fraction form
    171,974,860,995.02/374,143,374,457.35 = 374,143,374,457.35/x
  3. Step 3: Cross multiply
    171,974,860,995.02x = 374,143,374,457.35 × 374,143,374,457.35
  4. Step 4: Simplify right side
    171,974,860,995.02x = 139,983,264,650,332,798,451,712
  5. Step 5: Solve for x
    x = 139,983,264,650,332,798,451,712/171,974,860,995.02
  6. Step 6: Final answer
    x = 813,975,157,999.32

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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.