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Finding the Third Proportional to 7,583,564 and 16,230,010

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Solution

The third proportional to 7,583,564 and 16,230,010 is: 34,734,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,564 : 16,230,010 = 16,230,010 : x
  2. Step 2: Convert to fraction form
    7,583,564/16,230,010 = 16,230,010/x
  3. Step 3: Cross multiply
    7,583,564x = 16,230,010 × 16,230,010
  4. Step 4: Simplify right side
    7,583,564x = 263,413,224,600,100
  5. Step 5: Solve for x
    x = 263,413,224,600,100/7,583,564
  6. Step 6: Final answer
    x = 34,734,753.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.