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Finding the Third Proportional to 6,375,705 and 13,758,960

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Solution

The third proportional to 6,375,705 and 13,758,960 is: 29,692,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375,705 : 13,758,960 = 13,758,960 : x
  2. Step 2: Convert to fraction form
    6,375,705/13,758,960 = 13,758,960/x
  3. Step 3: Cross multiply
    6,375,705x = 13,758,960 × 13,758,960
  4. Step 4: Simplify right side
    6,375,705x = 189,308,980,281,600
  5. Step 5: Solve for x
    x = 189,308,980,281,600/6,375,705
  6. Step 6: Final answer
    x = 29,692,242.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.