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Finding the Third Proportional to 9,765,880 and 14,378,998

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Solution

The third proportional to 9,765,880 and 14,378,998 is: 21,171,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765,880 : 14,378,998 = 14,378,998 : x
  2. Step 2: Convert to fraction form
    9,765,880/14,378,998 = 14,378,998/x
  3. Step 3: Cross multiply
    9,765,880x = 14,378,998 × 14,378,998
  4. Step 4: Simplify right side
    9,765,880x = 206,755,583,484,004
  5. Step 5: Solve for x
    x = 206,755,583,484,004/9,765,880
  6. Step 6: Final answer
    x = 21,171,218.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.