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Finding the Third Proportional to 5,790,735 and 12,534,678

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Solution

The third proportional to 5,790,735 and 12,534,678 is: 27,132,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790,735 : 12,534,678 = 12,534,678 : x
  2. Step 2: Convert to fraction form
    5,790,735/12,534,678 = 12,534,678/x
  3. Step 3: Cross multiply
    5,790,735x = 12,534,678 × 12,534,678
  4. Step 4: Simplify right side
    5,790,735x = 157,118,152,563,684
  5. Step 5: Solve for x
    x = 157,118,152,563,684/5,790,735
  6. Step 6: Final answer
    x = 27,132,678.76

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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.