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Finding the Third Proportional to 3,209,827.94 and 6,531,756.35

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Solution

The third proportional to 3,209,827.94 and 6,531,756.35 is: 13,291,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,827.94 : 6,531,756.35 = 6,531,756.35 : x
  2. Step 2: Convert to fraction form
    3,209,827.94/6,531,756.35 = 6,531,756.35/x
  3. Step 3: Cross multiply
    3,209,827.94x = 6,531,756.35 × 6,531,756.35
  4. Step 4: Simplify right side
    3,209,827.94x = 42,663,841,017,037.71
  5. Step 5: Solve for x
    x = 42,663,841,017,037.71/3,209,827.94
  6. Step 6: Final answer
    x = 13,291,628.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.