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Finding the Third Proportional to 6,468,956 and 9,708,170

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Solution

The third proportional to 6,468,956 and 9,708,170 is: 14,569,362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468,956 : 9,708,170 = 9,708,170 : x
  2. Step 2: Convert to fraction form
    6,468,956/9,708,170 = 9,708,170/x
  3. Step 3: Cross multiply
    6,468,956x = 9,708,170 × 9,708,170
  4. Step 4: Simplify right side
    6,468,956x = 94,248,564,748,900
  5. Step 5: Solve for x
    x = 94,248,564,748,900/6,468,956
  6. Step 6: Final answer
    x = 14,569,362.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.