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Finding the Third Proportional to 8,237,178 and 17,156,140.50

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Solution

The third proportional to 8,237,178 and 17,156,140.50 is: 35,732,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237,178 : 17,156,140.50 = 17,156,140.50 : x
  2. Step 2: Convert to fraction form
    8,237,178/17,156,140.50 = 17,156,140.50/x
  3. Step 3: Cross multiply
    8,237,178x = 17,156,140.50 × 17,156,140.50
  4. Step 4: Simplify right side
    8,237,178x = 294,333,156,855,740.25
  5. Step 5: Solve for x
    x = 294,333,156,855,740.25/8,237,178
  6. Step 6: Final answer
    x = 35,732,280.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.