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Finding the Third Proportional to 276,326,160 and 595,696,854

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Solution

The third proportional to 276,326,160 and 595,696,854 is: 1,284,188,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,326,160 : 595,696,854 = 595,696,854 : x
  2. Step 2: Convert to fraction form
    276,326,160/595,696,854 = 595,696,854/x
  3. Step 3: Cross multiply
    276,326,160x = 595,696,854 × 595,696,854
  4. Step 4: Simplify right side
    276,326,160x = 354,854,741,865,497,344
  5. Step 5: Solve for x
    x = 354,854,741,865,497,344/276,326,160
  6. Step 6: Final answer
    x = 1,284,188,011.25

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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.