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Finding the Third Proportional to 10,713,664 and 23,120,944

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Solution

The third proportional to 10,713,664 and 23,120,944 is: 49,896,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713,664 : 23,120,944 = 23,120,944 : x
  2. Step 2: Convert to fraction form
    10,713,664/23,120,944 = 23,120,944/x
  3. Step 3: Cross multiply
    10,713,664x = 23,120,944 × 23,120,944
  4. Step 4: Simplify right side
    10,713,664x = 534,578,051,451,136
  5. Step 5: Solve for x
    x = 534,578,051,451,136/10,713,664
  6. Step 6: Final answer
    x = 49,896,846.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.