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Finding the Third Proportional to 3,064,932 and 6,503,449.50

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Solution

The third proportional to 3,064,932 and 6,503,449.50 is: 13,799,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064,932 : 6,503,449.50 = 6,503,449.50 : x
  2. Step 2: Convert to fraction form
    3,064,932/6,503,449.50 = 6,503,449.50/x
  3. Step 3: Cross multiply
    3,064,932x = 6,503,449.50 × 6,503,449.50
  4. Step 4: Simplify right side
    3,064,932x = 42,294,855,399,050.25
  5. Step 5: Solve for x
    x = 42,294,855,399,050.25/3,064,932
  6. Step 6: Final answer
    x = 13,799,606.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.