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Finding the Third Proportional to 9,790,506 and 13,762,847

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Solution

The third proportional to 9,790,506 and 13,762,847 is: 19,346,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,506 : 13,762,847 = 13,762,847 : x
  2. Step 2: Convert to fraction form
    9,790,506/13,762,847 = 13,762,847/x
  3. Step 3: Cross multiply
    9,790,506x = 13,762,847 × 13,762,847
  4. Step 4: Simplify right side
    9,790,506x = 189,415,957,545,409
  5. Step 5: Solve for x
    x = 189,415,957,545,409/9,790,506
  6. Step 6: Final answer
    x = 19,346,901.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.