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Finding the Third Proportional to 2,686,531,947 and 5,813,116,725

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Solution

The third proportional to 2,686,531,947 and 5,813,116,725 is: 12,578,419,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686,531,947 : 5,813,116,725 = 5,813,116,725 : x
  2. Step 2: Convert to fraction form
    2,686,531,947/5,813,116,725 = 5,813,116,725/x
  3. Step 3: Cross multiply
    2,686,531,947x = 5,813,116,725 × 5,813,116,725
  4. Step 4: Simplify right side
    2,686,531,947x = 33,792,326,058,474,725,376
  5. Step 5: Solve for x
    x = 33,792,326,058,474,725,376/2,686,531,947
  6. Step 6: Final answer
    x = 12,578,419,585.22

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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.