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Finding the Third Proportional to 6,518,132 and 9,577,424

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Solution

The third proportional to 6,518,132 and 9,577,424 is: 14,072,597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518,132 : 9,577,424 = 9,577,424 : x
  2. Step 2: Convert to fraction form
    6,518,132/9,577,424 = 9,577,424/x
  3. Step 3: Cross multiply
    6,518,132x = 9,577,424 × 9,577,424
  4. Step 4: Simplify right side
    6,518,132x = 91,727,050,475,776
  5. Step 5: Solve for x
    x = 91,727,050,475,776/6,518,132
  6. Step 6: Final answer
    x = 14,072,597.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.