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Finding the Third Proportional to 233,231,316 and 539,944,784

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Solution

The third proportional to 233,231,316 and 539,944,784 is: 1,250,005,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,231,316 : 539,944,784 = 539,944,784 : x
  2. Step 2: Convert to fraction form
    233,231,316/539,944,784 = 539,944,784/x
  3. Step 3: Cross multiply
    233,231,316x = 539,944,784 × 539,944,784
  4. Step 4: Simplify right side
    233,231,316x = 291,540,369,768,806,656
  5. Step 5: Solve for x
    x = 291,540,369,768,806,656/233,231,316
  6. Step 6: Final answer
    x = 1,250,005,251.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.