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Finding the Third Proportional to 6,577,506 and 13,874,809.50

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Solution

The third proportional to 6,577,506 and 13,874,809.50 is: 29,267,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577,506 : 13,874,809.50 = 13,874,809.50 : x
  2. Step 2: Convert to fraction form
    6,577,506/13,874,809.50 = 13,874,809.50/x
  3. Step 3: Cross multiply
    6,577,506x = 13,874,809.50 × 13,874,809.50
  4. Step 4: Simplify right side
    6,577,506x = 192,510,338,661,290.25
  5. Step 5: Solve for x
    x = 192,510,338,661,290.25/6,577,506
  6. Step 6: Final answer
    x = 29,267,983.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.