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Finding the Third Proportional to 9,631,582 and 14,101,826

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Solution

The third proportional to 9,631,582 and 14,101,826 is: 20,646,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631,582 : 14,101,826 = 14,101,826 : x
  2. Step 2: Convert to fraction form
    9,631,582/14,101,826 = 14,101,826/x
  3. Step 3: Cross multiply
    9,631,582x = 14,101,826 × 14,101,826
  4. Step 4: Simplify right side
    9,631,582x = 198,861,496,534,276
  5. Step 5: Solve for x
    x = 198,861,496,534,276/9,631,582
  6. Step 6: Final answer
    x = 20,646,815.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.