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Finding the Third Proportional to 228,047,382 and 497,895,924

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Solution

The third proportional to 228,047,382 and 497,895,924 is: 1,087,056,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,047,382 : 497,895,924 = 497,895,924 : x
  2. Step 2: Convert to fraction form
    228,047,382/497,895,924 = 497,895,924/x
  3. Step 3: Cross multiply
    228,047,382x = 497,895,924 × 497,895,924
  4. Step 4: Simplify right side
    228,047,382x = 247,900,351,135,813,760
  5. Step 5: Solve for x
    x = 247,900,351,135,813,760/228,047,382
  6. Step 6: Final answer
    x = 1,087,056,334.35

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Why These Related Problems?

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