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Finding the Third Proportional to 6,927,530.25 and 10,752,676.50

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Solution

The third proportional to 6,927,530.25 and 10,752,676.50 is: 16,689,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927,530.25 : 10,752,676.50 = 10,752,676.50 : x
  2. Step 2: Convert to fraction form
    6,927,530.25/10,752,676.50 = 10,752,676.50/x
  3. Step 3: Cross multiply
    6,927,530.25x = 10,752,676.50 × 10,752,676.50
  4. Step 4: Simplify right side
    6,927,530.25x = 115,620,051,913,652.25
  5. Step 5: Solve for x
    x = 115,620,051,913,652.25/6,927,530.25
  6. Step 6: Final answer
    x = 16,689,938.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.