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Finding the Third Proportional to 64,671,814 and 137,809,780

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Solution

The third proportional to 64,671,814 and 137,809,780 is: 293,660,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,671,814 : 137,809,780 = 137,809,780 : x
  2. Step 2: Convert to fraction form
    64,671,814/137,809,780 = 137,809,780/x
  3. Step 3: Cross multiply
    64,671,814x = 137,809,780 × 137,809,780
  4. Step 4: Simplify right side
    64,671,814x = 18,991,535,463,648,400
  5. Step 5: Solve for x
    x = 18,991,535,463,648,400/64,671,814
  6. Step 6: Final answer
    x = 293,660,163.35

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.