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Finding the Third Proportional to 6,875,562 and 14,570,734

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Solution

The third proportional to 6,875,562 and 14,570,734 is: 30,878,390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,562 : 14,570,734 = 14,570,734 : x
  2. Step 2: Convert to fraction form
    6,875,562/14,570,734 = 14,570,734/x
  3. Step 3: Cross multiply
    6,875,562x = 14,570,734 × 14,570,734
  4. Step 4: Simplify right side
    6,875,562x = 212,306,289,298,756
  5. Step 5: Solve for x
    x = 212,306,289,298,756/6,875,562
  6. Step 6: Final answer
    x = 30,878,390.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.