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Finding the Third Proportional to 12,029,340 and 24,696,391.50

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Solution

The third proportional to 12,029,340 and 24,696,391.50 is: 50,702,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029,340 : 24,696,391.50 = 24,696,391.50 : x
  2. Step 2: Convert to fraction form
    12,029,340/24,696,391.50 = 24,696,391.50/x
  3. Step 3: Cross multiply
    12,029,340x = 24,696,391.50 × 24,696,391.50
  4. Step 4: Simplify right side
    12,029,340x = 609,911,753,121,272.25
  5. Step 5: Solve for x
    x = 609,911,753,121,272.25/12,029,340
  6. Step 6: Final answer
    x = 50,702,013.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.