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Finding the Third Proportional to 7,878,367.50 and 17,137,096.50

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Solution

The third proportional to 7,878,367.50 and 17,137,096.50 is: 37,276,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878,367.50 : 17,137,096.50 = 17,137,096.50 : x
  2. Step 2: Convert to fraction form
    7,878,367.50/17,137,096.50 = 17,137,096.50/x
  3. Step 3: Cross multiply
    7,878,367.50x = 17,137,096.50 × 17,137,096.50
  4. Step 4: Simplify right side
    7,878,367.50x = 293,680,076,450,312.25
  5. Step 5: Solve for x
    x = 293,680,076,450,312.25/7,878,367.50
  6. Step 6: Final answer
    x = 37,276,767.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.