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Finding the Third Proportional to 13,677,756 and 20,798,772.50

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Solution

The third proportional to 13,677,756 and 20,798,772.50 is: 31,627,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677,756 : 20,798,772.50 = 20,798,772.50 : x
  2. Step 2: Convert to fraction form
    13,677,756/20,798,772.50 = 20,798,772.50/x
  3. Step 3: Cross multiply
    13,677,756x = 20,798,772.50 × 20,798,772.50
  4. Step 4: Simplify right side
    13,677,756x = 432,588,937,506,756.25
  5. Step 5: Solve for x
    x = 432,588,937,506,756.25/13,677,756
  6. Step 6: Final answer
    x = 31,627,186.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.