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Finding the Third Proportional to 2,877,970.50 and 6,297,162.75

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Solution

The third proportional to 2,877,970.50 and 6,297,162.75 is: 13,778,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,970.50 : 6,297,162.75 = 6,297,162.75 : x
  2. Step 2: Convert to fraction form
    2,877,970.50/6,297,162.75 = 6,297,162.75/x
  3. Step 3: Cross multiply
    2,877,970.50x = 6,297,162.75 × 6,297,162.75
  4. Step 4: Simplify right side
    2,877,970.50x = 39,654,258,699,987.56
  5. Step 5: Solve for x
    x = 39,654,258,699,987.56/2,877,970.50
  6. Step 6: Final answer
    x = 13,778,549.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.