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Finding the Third Proportional to 51,168,521 and 83,544,745

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Solution

The third proportional to 51,168,521 and 83,544,745 is: 136,406,608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,168,521 : 83,544,745 = 83,544,745 : x
  2. Step 2: Convert to fraction form
    51,168,521/83,544,745 = 83,544,745/x
  3. Step 3: Cross multiply
    51,168,521x = 83,544,745 × 83,544,745
  4. Step 4: Simplify right side
    51,168,521x = 6,979,724,417,115,025
  5. Step 5: Solve for x
    x = 6,979,724,417,115,025/51,168,521
  6. Step 6: Final answer
    x = 136,406,608.61

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.