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Finding the Third Proportional to 5,114,490.50 and 7,724,864.50

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Solution

The third proportional to 5,114,490.50 and 7,724,864.50 is: 11,667,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114,490.50 : 7,724,864.50 = 7,724,864.50 : x
  2. Step 2: Convert to fraction form
    5,114,490.50/7,724,864.50 = 7,724,864.50/x
  3. Step 3: Cross multiply
    5,114,490.50x = 7,724,864.50 × 7,724,864.50
  4. Step 4: Simplify right side
    5,114,490.50x = 59,673,531,543,360.25
  5. Step 5: Solve for x
    x = 59,673,531,543,360.25/5,114,490.50
  6. Step 6: Final answer
    x = 11,667,541.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.