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Finding the Third Proportional to 4,676,044.50 and 6,995,409.75

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Solution

The third proportional to 4,676,044.50 and 6,995,409.75 is: 10,465,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676,044.50 : 6,995,409.75 = 6,995,409.75 : x
  2. Step 2: Convert to fraction form
    4,676,044.50/6,995,409.75 = 6,995,409.75/x
  3. Step 3: Cross multiply
    4,676,044.50x = 6,995,409.75 × 6,995,409.75
  4. Step 4: Simplify right side
    4,676,044.50x = 48,935,757,570,395.06
  5. Step 5: Solve for x
    x = 48,935,757,570,395.06/4,676,044.50
  6. Step 6: Final answer
    x = 10,465,203.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.