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Finding the Third Proportional to 25,457,829 and 56,677,863

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Solution

The third proportional to 25,457,829 and 56,677,863 is: 126,184,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,457,829 : 56,677,863 = 56,677,863 : x
  2. Step 2: Convert to fraction form
    25,457,829/56,677,863 = 56,677,863/x
  3. Step 3: Cross multiply
    25,457,829x = 56,677,863 × 56,677,863
  4. Step 4: Simplify right side
    25,457,829x = 3,212,380,154,246,769
  5. Step 5: Solve for x
    x = 3,212,380,154,246,769/25,457,829
  6. Step 6: Final answer
    x = 126,184,371.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.