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Finding the Third Proportional to 4,646,254.50 and 9,965,095.88

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Solution

The third proportional to 4,646,254.50 and 9,965,095.88 is: 21,372,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646,254.50 : 9,965,095.88 = 9,965,095.88 : x
  2. Step 2: Convert to fraction form
    4,646,254.50/9,965,095.88 = 9,965,095.88/x
  3. Step 3: Cross multiply
    4,646,254.50x = 9,965,095.88 × 9,965,095.88
  4. Step 4: Simplify right side
    4,646,254.50x = 99,303,135,797,942.02
  5. Step 5: Solve for x
    x = 99,303,135,797,942.02/4,646,254.50
  6. Step 6: Final answer
    x = 21,372,728.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.