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Finding the Third Proportional to 9,768,372 and 14,359,877

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Solution

The third proportional to 9,768,372 and 14,359,877 is: 21,109,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768,372 : 14,359,877 = 14,359,877 : x
  2. Step 2: Convert to fraction form
    9,768,372/14,359,877 = 14,359,877/x
  3. Step 3: Cross multiply
    9,768,372x = 14,359,877 × 14,359,877
  4. Step 4: Simplify right side
    9,768,372x = 206,206,067,455,129
  5. Step 5: Solve for x
    x = 206,206,067,455,129/9,768,372
  6. Step 6: Final answer
    x = 21,109,563.34

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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.