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Finding the Third Proportional to 8,563,980 and 11,664,665.50

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Solution

The third proportional to 8,563,980 and 11,664,665.50 is: 15,887,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563,980 : 11,664,665.50 = 11,664,665.50 : x
  2. Step 2: Convert to fraction form
    8,563,980/11,664,665.50 = 11,664,665.50/x
  3. Step 3: Cross multiply
    8,563,980x = 11,664,665.50 × 11,664,665.50
  4. Step 4: Simplify right side
    8,563,980x = 136,064,421,226,890.25
  5. Step 5: Solve for x
    x = 136,064,421,226,890.25/8,563,980
  6. Step 6: Final answer
    x = 15,887,989.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.