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Finding the Third Proportional to 9,776,395.13 and 14,790,421.13

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Solution

The third proportional to 9,776,395.13 and 14,790,421.13 is: 22,375,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776,395.13 : 14,790,421.13 = 14,790,421.13 : x
  2. Step 2: Convert to fraction form
    9,776,395.13/14,790,421.13 = 14,790,421.13/x
  3. Step 3: Cross multiply
    9,776,395.13x = 14,790,421.13 × 14,790,421.13
  4. Step 4: Simplify right side
    9,776,395.13x = 218,756,557,054,846.25
  5. Step 5: Solve for x
    x = 218,756,557,054,846.25/9,776,395.13
  6. Step 6: Final answer
    x = 22,375,993.84

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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.