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Finding the Third Proportional to 6,943,827 and 15,262,095

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Solution

The third proportional to 6,943,827 and 15,262,095 is: 33,545,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943,827 : 15,262,095 = 15,262,095 : x
  2. Step 2: Convert to fraction form
    6,943,827/15,262,095 = 15,262,095/x
  3. Step 3: Cross multiply
    6,943,827x = 15,262,095 × 15,262,095
  4. Step 4: Simplify right side
    6,943,827x = 232,931,543,789,025
  5. Step 5: Solve for x
    x = 232,931,543,789,025/6,943,827
  6. Step 6: Final answer
    x = 33,545,124.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.