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Finding the Third Proportional to 6,590,767.50 and 13,890,123

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Solution

The third proportional to 6,590,767.50 and 13,890,123 is: 29,273,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590,767.50 : 13,890,123 = 13,890,123 : x
  2. Step 2: Convert to fraction form
    6,590,767.50/13,890,123 = 13,890,123/x
  3. Step 3: Cross multiply
    6,590,767.50x = 13,890,123 × 13,890,123
  4. Step 4: Simplify right side
    6,590,767.50x = 192,935,516,955,129
  5. Step 5: Solve for x
    x = 192,935,516,955,129/6,590,767.50
  6. Step 6: Final answer
    x = 29,273,603.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.