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Finding the Third Proportional to 433,128,816 and 935,290,854

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Solution

The third proportional to 433,128,816 and 935,290,854 is: 2,019,650,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,128,816 : 935,290,854 = 935,290,854 : x
  2. Step 2: Convert to fraction form
    433,128,816/935,290,854 = 935,290,854/x
  3. Step 3: Cross multiply
    433,128,816x = 935,290,854 × 935,290,854
  4. Step 4: Simplify right side
    433,128,816x = 874,768,981,576,049,280
  5. Step 5: Solve for x
    x = 874,768,981,576,049,280/433,128,816
  6. Step 6: Final answer
    x = 2,019,650,850.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.