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Finding the Third Proportional to 2,781,823.50 and 5,931,090.84

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Solution

The third proportional to 2,781,823.50 and 5,931,090.84 is: 12,645,604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,823.50 : 5,931,090.84 = 5,931,090.84 : x
  2. Step 2: Convert to fraction form
    2,781,823.50/5,931,090.84 = 5,931,090.84/x
  3. Step 3: Cross multiply
    2,781,823.50x = 5,931,090.84 × 5,931,090.84
  4. Step 4: Simplify right side
    2,781,823.50x = 35,177,838,596,815.09
  5. Step 5: Solve for x
    x = 35,177,838,596,815.09/2,781,823.50
  6. Step 6: Final answer
    x = 12,645,604.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.