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Finding the Third Proportional to 7,723,154.25 and 16,642,364.63

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Solution

The third proportional to 7,723,154.25 and 16,642,364.63 is: 35,862,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723,154.25 : 16,642,364.63 = 16,642,364.63 : x
  2. Step 2: Convert to fraction form
    7,723,154.25/16,642,364.63 = 16,642,364.63/x
  3. Step 3: Cross multiply
    7,723,154.25x = 16,642,364.63 × 16,642,364.63
  4. Step 4: Simplify right side
    7,723,154.25x = 276,968,300,311,451.38
  5. Step 5: Solve for x
    x = 276,968,300,311,451.38/7,723,154.25
  6. Step 6: Final answer
    x = 35,862,070.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.