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Finding the Third Proportional to 11,730,876.75 and 24,534,312.75

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Solution

The third proportional to 11,730,876.75 and 24,534,312.75 is: 51,311,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730,876.75 : 24,534,312.75 = 24,534,312.75 : x
  2. Step 2: Convert to fraction form
    11,730,876.75/24,534,312.75 = 24,534,312.75/x
  3. Step 3: Cross multiply
    11,730,876.75x = 24,534,312.75 × 24,534,312.75
  4. Step 4: Simplify right side
    11,730,876.75x = 601,932,502,114,812.50
  5. Step 5: Solve for x
    x = 601,932,502,114,812.50/11,730,876.75
  6. Step 6: Final answer
    x = 51,311,808.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.