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Finding the Third Proportional to 6,506,500.50 and 14,133,062.25

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Solution

The third proportional to 6,506,500.50 and 14,133,062.25 is: 30,699,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506,500.50 : 14,133,062.25 = 14,133,062.25 : x
  2. Step 2: Convert to fraction form
    6,506,500.50/14,133,062.25 = 14,133,062.25/x
  3. Step 3: Cross multiply
    6,506,500.50x = 14,133,062.25 × 14,133,062.25
  4. Step 4: Simplify right side
    6,506,500.50x = 199,743,448,562,375.06
  5. Step 5: Solve for x
    x = 199,743,448,562,375.06/6,506,500.50
  6. Step 6: Final answer
    x = 30,699,059.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.