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Finding the Third Proportional to 6,349,896.28 and 9,539,151.05

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Solution

The third proportional to 6,349,896.28 and 9,539,151.05 is: 14,330,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349,896.28 : 9,539,151.05 = 9,539,151.05 : x
  2. Step 2: Convert to fraction form
    6,349,896.28/9,539,151.05 = 9,539,151.05/x
  3. Step 3: Cross multiply
    6,349,896.28x = 9,539,151.05 × 9,539,151.05
  4. Step 4: Simplify right side
    6,349,896.28x = 90,995,402,695,096.41
  5. Step 5: Solve for x
    x = 90,995,402,695,096.41/6,349,896.28
  6. Step 6: Final answer
    x = 14,330,218.74

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Why These Related Problems?

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