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Finding the Third Proportional to 51,471,588 and 78,413,406

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Solution

The third proportional to 51,471,588 and 78,413,406 is: 119,457,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,471,588 : 78,413,406 = 78,413,406 : x
  2. Step 2: Convert to fraction form
    51,471,588/78,413,406 = 78,413,406/x
  3. Step 3: Cross multiply
    51,471,588x = 78,413,406 × 78,413,406
  4. Step 4: Simplify right side
    51,471,588x = 6,148,662,240,520,836
  5. Step 5: Solve for x
    x = 6,148,662,240,520,836/51,471,588
  6. Step 6: Final answer
    x = 119,457,403.19

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.