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Finding the Third Proportional to 9,748,302 and 13,628,031

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Solution

The third proportional to 9,748,302 and 13,628,031 is: 19,051,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748,302 : 13,628,031 = 13,628,031 : x
  2. Step 2: Convert to fraction form
    9,748,302/13,628,031 = 13,628,031/x
  3. Step 3: Cross multiply
    9,748,302x = 13,628,031 × 13,628,031
  4. Step 4: Simplify right side
    9,748,302x = 185,723,228,936,961
  5. Step 5: Solve for x
    x = 185,723,228,936,961/9,748,302
  6. Step 6: Final answer
    x = 19,051,854.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.