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Finding the Third Proportional to 3,265,672.50 and 5,148,967.50

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Solution

The third proportional to 3,265,672.50 and 5,148,967.50 is: 8,118,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265,672.50 : 5,148,967.50 = 5,148,967.50 : x
  2. Step 2: Convert to fraction form
    3,265,672.50/5,148,967.50 = 5,148,967.50/x
  3. Step 3: Cross multiply
    3,265,672.50x = 5,148,967.50 × 5,148,967.50
  4. Step 4: Simplify right side
    3,265,672.50x = 26,511,866,316,056.25
  5. Step 5: Solve for x
    x = 26,511,866,316,056.25/3,265,672.50
  6. Step 6: Final answer
    x = 8,118,348.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.