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Finding the Third Proportional to 9,462,699 and 14,178,305.25

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Solution

The third proportional to 9,462,699 and 14,178,305.25 is: 21,243,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462,699 : 14,178,305.25 = 14,178,305.25 : x
  2. Step 2: Convert to fraction form
    9,462,699/14,178,305.25 = 14,178,305.25/x
  3. Step 3: Cross multiply
    9,462,699x = 14,178,305.25 × 14,178,305.25
  4. Step 4: Simplify right side
    9,462,699x = 201,024,339,762,177.56
  5. Step 5: Solve for x
    x = 201,024,339,762,177.56/9,462,699
  6. Step 6: Final answer
    x = 21,243,869.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.