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Finding the Third Proportional to 9,748,577 and 13,628,424

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Solution

The third proportional to 9,748,577 and 13,628,424 is: 19,052,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748,577 : 13,628,424 = 13,628,424 : x
  2. Step 2: Convert to fraction form
    9,748,577/13,628,424 = 13,628,424/x
  3. Step 3: Cross multiply
    9,748,577x = 13,628,424 × 13,628,424
  4. Step 4: Simplify right side
    9,748,577x = 185,733,940,723,776
  5. Step 5: Solve for x
    x = 185,733,940,723,776/9,748,577
  6. Step 6: Final answer
    x = 19,052,415.62

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