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Finding the Third Proportional to 51,168,519 and 83,544,743.25

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Solution

The third proportional to 51,168,519 and 83,544,743.25 is: 136,406,608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,168,519 : 83,544,743.25 = 83,544,743.25 : x
  2. Step 2: Convert to fraction form
    51,168,519/83,544,743.25 = 83,544,743.25/x
  3. Step 3: Cross multiply
    51,168,519x = 83,544,743.25 × 83,544,743.25
  4. Step 4: Simplify right side
    51,168,519x = 6,979,724,124,708,421
  5. Step 5: Solve for x
    x = 6,979,724,124,708,421/51,168,519
  6. Step 6: Final answer
    x = 136,406,608.23

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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.