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Finding the Third Proportional to 51,727,920 and 77,807,844

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Solution

The third proportional to 51,727,920 and 77,807,844 is: 117,036,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,727,920 : 77,807,844 = 77,807,844 : x
  2. Step 2: Convert to fraction form
    51,727,920/77,807,844 = 77,807,844/x
  3. Step 3: Cross multiply
    51,727,920x = 77,807,844 × 77,807,844
  4. Step 4: Simplify right side
    51,727,920x = 6,054,060,587,928,336
  5. Step 5: Solve for x
    x = 6,054,060,587,928,336/51,727,920
  6. Step 6: Final answer
    x = 117,036,613.65

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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.