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Finding the Third Proportional to 228,048,012 and 497,912,436

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Solution

The third proportional to 228,048,012 and 497,912,436 is: 1,087,125,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,048,012 : 497,912,436 = 497,912,436 : x
  2. Step 2: Convert to fraction form
    228,048,012/497,912,436 = 497,912,436/x
  3. Step 3: Cross multiply
    228,048,012x = 497,912,436 × 497,912,436
  4. Step 4: Simplify right side
    228,048,012x = 247,916,793,923,454,080
  5. Step 5: Solve for x
    x = 247,916,793,923,454,080/228,048,012
  6. Step 6: Final answer
    x = 1,087,125,433.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.