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Finding the Third Proportional to 10,677,276 and 23,034,168

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Solution

The third proportional to 10,677,276 and 23,034,168 is: 49,691,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677,276 : 23,034,168 = 23,034,168 : x
  2. Step 2: Convert to fraction form
    10,677,276/23,034,168 = 23,034,168/x
  3. Step 3: Cross multiply
    10,677,276x = 23,034,168 × 23,034,168
  4. Step 4: Simplify right side
    10,677,276x = 530,572,895,452,224
  5. Step 5: Solve for x
    x = 530,572,895,452,224/10,677,276
  6. Step 6: Final answer
    x = 49,691,784.26

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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.