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Finding the Third Proportional to 6,335,088 and 13,867,464

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Solution

The third proportional to 6,335,088 and 13,867,464 is: 30,355,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335,088 : 13,867,464 = 13,867,464 : x
  2. Step 2: Convert to fraction form
    6,335,088/13,867,464 = 13,867,464/x
  3. Step 3: Cross multiply
    6,335,088x = 13,867,464 × 13,867,464
  4. Step 4: Simplify right side
    6,335,088x = 192,306,557,791,296
  5. Step 5: Solve for x
    x = 192,306,557,791,296/6,335,088
  6. Step 6: Final answer
    x = 30,355,783.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.