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Finding the Third Proportional to 6,142,224 and 9,634,457.25

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Solution

The third proportional to 6,142,224 and 9,634,457.25 is: 15,112,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142,224 : 9,634,457.25 = 9,634,457.25 : x
  2. Step 2: Convert to fraction form
    6,142,224/9,634,457.25 = 9,634,457.25/x
  3. Step 3: Cross multiply
    6,142,224x = 9,634,457.25 × 9,634,457.25
  4. Step 4: Simplify right side
    6,142,224x = 92,822,766,502,077.56
  5. Step 5: Solve for x
    x = 92,822,766,502,077.56/6,142,224
  6. Step 6: Final answer
    x = 15,112,240.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.