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Finding the Third Proportional to 10,783,584 and 23,083,476

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Solution

The third proportional to 10,783,584 and 23,083,476 is: 49,412,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783,584 : 23,083,476 = 23,083,476 : x
  2. Step 2: Convert to fraction form
    10,783,584/23,083,476 = 23,083,476/x
  3. Step 3: Cross multiply
    10,783,584x = 23,083,476 × 23,083,476
  4. Step 4: Simplify right side
    10,783,584x = 532,846,864,242,576
  5. Step 5: Solve for x
    x = 532,846,864,242,576/10,783,584
  6. Step 6: Final answer
    x = 49,412,780.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.