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Finding the Third Proportional to 51,043,682 and 78,457,835

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Solution

The third proportional to 51,043,682 and 78,457,835 is: 120,595,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,043,682 : 78,457,835 = 78,457,835 : x
  2. Step 2: Convert to fraction form
    51,043,682/78,457,835 = 78,457,835/x
  3. Step 3: Cross multiply
    51,043,682x = 78,457,835 × 78,457,835
  4. Step 4: Simplify right side
    51,043,682x = 6,155,631,872,887,225
  5. Step 5: Solve for x
    x = 6,155,631,872,887,225/51,043,682
  6. Step 6: Final answer
    x = 120,595,373.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.