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Finding the Third Proportional to 984,780,888 and 2,132,979,600

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Solution

The third proportional to 984,780,888 and 2,132,979,600 is: 4,619,912,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,780,888 : 2,132,979,600 = 2,132,979,600 : x
  2. Step 2: Convert to fraction form
    984,780,888/2,132,979,600 = 2,132,979,600/x
  3. Step 3: Cross multiply
    984,780,888x = 2,132,979,600 × 2,132,979,600
  4. Step 4: Simplify right side
    984,780,888x = 4,549,601,974,016,159,744
  5. Step 5: Solve for x
    x = 4,549,601,974,016,159,744/984,780,888
  6. Step 6: Final answer
    x = 4,619,912,946.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.