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Finding the Third Proportional to 10,082,026.50 and 22,123,605

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Solution

The third proportional to 10,082,026.50 and 22,123,605 is: 48,547,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,026.50 : 22,123,605 = 22,123,605 : x
  2. Step 2: Convert to fraction form
    10,082,026.50/22,123,605 = 22,123,605/x
  3. Step 3: Cross multiply
    10,082,026.50x = 22,123,605 × 22,123,605
  4. Step 4: Simplify right side
    10,082,026.50x = 489,453,898,196,025
  5. Step 5: Solve for x
    x = 489,453,898,196,025/10,082,026.50
  6. Step 6: Final answer
    x = 48,547,174.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.