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Finding the Third Proportional to 14,656,054,900.50 and 31,999,852,035

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Solution

The third proportional to 14,656,054,900.50 and 31,999,852,035 is: 69,868,087,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656,054,900.50 : 31,999,852,035 = 31,999,852,035 : x
  2. Step 2: Convert to fraction form
    14,656,054,900.50/31,999,852,035 = 31,999,852,035/x
  3. Step 3: Cross multiply
    14,656,054,900.50x = 31,999,852,035 × 31,999,852,035
  4. Step 4: Simplify right side
    14,656,054,900.50x = 1,023,990,530,261,893,644,288
  5. Step 5: Solve for x
    x = 1,023,990,530,261,893,644,288/14,656,054,900.50
  6. Step 6: Final answer
    x = 69,868,087,777.63

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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.