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Finding the Third Proportional to 7,487,698 and 11,846,367

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Solution

The third proportional to 7,487,698 and 11,846,367 is: 18,742,263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487,698 : 11,846,367 = 11,846,367 : x
  2. Step 2: Convert to fraction form
    7,487,698/11,846,367 = 11,846,367/x
  3. Step 3: Cross multiply
    7,487,698x = 11,846,367 × 11,846,367
  4. Step 4: Simplify right side
    7,487,698x = 140,336,411,098,689
  5. Step 5: Solve for x
    x = 140,336,411,098,689/7,487,698
  6. Step 6: Final answer
    x = 18,742,263.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.