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Finding the Third Proportional to 51,727,914 and 77,807,835

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Solution

The third proportional to 51,727,914 and 77,807,835 is: 117,036,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,727,914 : 77,807,835 = 77,807,835 : x
  2. Step 2: Convert to fraction form
    51,727,914/77,807,835 = 77,807,835/x
  3. Step 3: Cross multiply
    51,727,914x = 77,807,835 × 77,807,835
  4. Step 4: Simplify right side
    51,727,914x = 6,054,059,187,387,225
  5. Step 5: Solve for x
    x = 6,054,059,187,387,225/51,727,914
  6. Step 6: Final answer
    x = 117,036,600.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.