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Finding the Third Proportional to 5,889,410 and 12,457,849.50

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Solution

The third proportional to 5,889,410 and 12,457,849.50 is: 26,352,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889,410 : 12,457,849.50 = 12,457,849.50 : x
  2. Step 2: Convert to fraction form
    5,889,410/12,457,849.50 = 12,457,849.50/x
  3. Step 3: Cross multiply
    5,889,410x = 12,457,849.50 × 12,457,849.50
  4. Step 4: Simplify right side
    5,889,410x = 155,198,014,164,650.25
  5. Step 5: Solve for x
    x = 155,198,014,164,650.25/5,889,410
  6. Step 6: Final answer
    x = 26,352,047.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.