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Finding the Third Proportional to 9,678,823 and 14,856,614

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Solution

The third proportional to 9,678,823 and 14,856,614 is: 22,804,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678,823 : 14,856,614 = 14,856,614 : x
  2. Step 2: Convert to fraction form
    9,678,823/14,856,614 = 14,856,614/x
  3. Step 3: Cross multiply
    9,678,823x = 14,856,614 × 14,856,614
  4. Step 4: Simplify right side
    9,678,823x = 220,718,979,544,996
  5. Step 5: Solve for x
    x = 220,718,979,544,996/9,678,823
  6. Step 6: Final answer
    x = 22,804,320.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.