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Finding the Third Proportional to 6,349,120 and 9,580,928

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Solution

The third proportional to 6,349,120 and 9,580,928 is: 14,457,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349,120 : 9,580,928 = 9,580,928 : x
  2. Step 2: Convert to fraction form
    6,349,120/9,580,928 = 9,580,928/x
  3. Step 3: Cross multiply
    6,349,120x = 9,580,928 × 9,580,928
  4. Step 4: Simplify right side
    6,349,120x = 91,794,181,341,184
  5. Step 5: Solve for x
    x = 91,794,181,341,184/6,349,120
  6. Step 6: Final answer
    x = 14,457,780.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.