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Finding the Third Proportional to 6,326,658 and 9,578,712

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Solution

The third proportional to 6,326,658 and 9,578,712 is: 14,502,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326,658 : 9,578,712 = 9,578,712 : x
  2. Step 2: Convert to fraction form
    6,326,658/9,578,712 = 9,578,712/x
  3. Step 3: Cross multiply
    6,326,658x = 9,578,712 × 9,578,712
  4. Step 4: Simplify right side
    6,326,658x = 91,751,723,578,944
  5. Step 5: Solve for x
    x = 91,751,723,578,944/6,326,658
  6. Step 6: Final answer
    x = 14,502,399.78

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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.