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Finding the Third Proportional to 9,776,392.69 and 14,790,417.56

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Solution

The third proportional to 9,776,392.69 and 14,790,417.56 is: 22,375,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776,392.69 : 14,790,417.56 = 14,790,417.56 : x
  2. Step 2: Convert to fraction form
    9,776,392.69/14,790,417.56 = 14,790,417.56/x
  3. Step 3: Cross multiply
    9,776,392.69x = 14,790,417.56 × 14,790,417.56
  4. Step 4: Simplify right side
    9,776,392.69x = 218,756,451,673,108.44
  5. Step 5: Solve for x
    x = 218,756,451,673,108.44/9,776,392.69
  6. Step 6: Final answer
    x = 22,375,988.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.