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Finding the Third Proportional to 7,831,102,016.50 and 12,420,612,744.50

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Solution

The third proportional to 7,831,102,016.50 and 12,420,612,744.50 is: 19,699,860,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831,102,016.50 : 12,420,612,744.50 = 12,420,612,744.50 : x
  2. Step 2: Convert to fraction form
    7,831,102,016.50/12,420,612,744.50 = 12,420,612,744.50/x
  3. Step 3: Cross multiply
    7,831,102,016.50x = 12,420,612,744.50 × 12,420,612,744.50
  4. Step 4: Simplify right side
    7,831,102,016.50x = 154,271,620,948,835,827,712
  5. Step 5: Solve for x
    x = 154,271,620,948,835,827,712/7,831,102,016.50
  6. Step 6: Final answer
    x = 19,699,860,967.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.