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Finding the Third Proportional to 930,638,486 and 2,016,372,816

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Solution

The third proportional to 930,638,486 and 2,016,372,816 is: 4,368,784,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,638,486 : 2,016,372,816 = 2,016,372,816 : x
  2. Step 2: Convert to fraction form
    930,638,486/2,016,372,816 = 2,016,372,816/x
  3. Step 3: Cross multiply
    930,638,486x = 2,016,372,816 × 2,016,372,816
  4. Step 4: Simplify right side
    930,638,486x = 4,065,759,333,103,769,600
  5. Step 5: Solve for x
    x = 4,065,759,333,103,769,600/930,638,486
  6. Step 6: Final answer
    x = 4,368,784,865.73

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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.