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Finding the Third Proportional to 9,673,684 and 14,459,980

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Solution

The third proportional to 9,673,684 and 14,459,980 is: 21,614,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673,684 : 14,459,980 = 14,459,980 : x
  2. Step 2: Convert to fraction form
    9,673,684/14,459,980 = 14,459,980/x
  3. Step 3: Cross multiply
    9,673,684x = 14,459,980 × 14,459,980
  4. Step 4: Simplify right side
    9,673,684x = 209,091,021,600,400
  5. Step 5: Solve for x
    x = 209,091,021,600,400/9,673,684
  6. Step 6: Final answer
    x = 21,614,415.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.