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Finding the Third Proportional to 3,443,711.63 and 5,374,927.13

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Solution

The third proportional to 3,443,711.63 and 5,374,927.13 is: 8,389,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443,711.63 : 5,374,927.13 = 5,374,927.13 : x
  2. Step 2: Convert to fraction form
    3,443,711.63/5,374,927.13 = 5,374,927.13/x
  3. Step 3: Cross multiply
    3,443,711.63x = 5,374,927.13 × 5,374,927.13
  4. Step 4: Simplify right side
    3,443,711.63x = 28,889,841,599,060.77
  5. Step 5: Solve for x
    x = 28,889,841,599,060.77/3,443,711.63
  6. Step 6: Final answer
    x = 8,389,158.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.