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Finding the Third Proportional to 5,276,416.50 and 7,883,564.06

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Solution

The third proportional to 5,276,416.50 and 7,883,564.06 is: 11,778,937.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276,416.50 : 7,883,564.06 = 7,883,564.06 : x
  2. Step 2: Convert to fraction form
    5,276,416.50/7,883,564.06 = 7,883,564.06/x
  3. Step 3: Cross multiply
    5,276,416.50x = 7,883,564.06 × 7,883,564.06
  4. Step 4: Simplify right side
    5,276,416.50x = 62,150,582,327,541.50
  5. Step 5: Solve for x
    x = 62,150,582,327,541.50/5,276,416.50
  6. Step 6: Final answer
    x = 11,778,937.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.