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Finding the Third Proportional to 3,295,222.50 and 6,750,985.50

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Solution

The third proportional to 3,295,222.50 and 6,750,985.50 is: 13,830,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295,222.50 : 6,750,985.50 = 6,750,985.50 : x
  2. Step 2: Convert to fraction form
    3,295,222.50/6,750,985.50 = 6,750,985.50/x
  3. Step 3: Cross multiply
    3,295,222.50x = 6,750,985.50 × 6,750,985.50
  4. Step 4: Simplify right side
    3,295,222.50x = 45,575,805,221,210.25
  5. Step 5: Solve for x
    x = 45,575,805,221,210.25/3,295,222.50
  6. Step 6: Final answer
    x = 13,830,873.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.