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Finding the Third Proportional to 647,757,219 and 1,398,730,179

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Solution

The third proportional to 647,757,219 and 1,398,730,179 is: 3,020,338,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,757,219 : 1,398,730,179 = 1,398,730,179 : x
  2. Step 2: Convert to fraction form
    647,757,219/1,398,730,179 = 1,398,730,179/x
  3. Step 3: Cross multiply
    647,757,219x = 1,398,730,179 × 1,398,730,179
  4. Step 4: Simplify right side
    647,757,219x = 1,956,446,113,645,372,160
  5. Step 5: Solve for x
    x = 1,956,446,113,645,372,160/647,757,219
  6. Step 6: Final answer
    x = 3,020,338,571.70

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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.