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Finding the Third Proportional to 8,636,250,105 and 13,268,643,804

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Solution

The third proportional to 8,636,250,105 and 13,268,643,804 is: 20,385,804,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,636,250,105 : 13,268,643,804 = 13,268,643,804 : x
  2. Step 2: Convert to fraction form
    8,636,250,105/13,268,643,804 = 13,268,643,804/x
  3. Step 3: Cross multiply
    8,636,250,105x = 13,268,643,804 × 13,268,643,804
  4. Step 4: Simplify right side
    8,636,250,105x = 176,056,908,397,427,589,120
  5. Step 5: Solve for x
    x = 176,056,908,397,427,589,120/8,636,250,105
  6. Step 6: Final answer
    x = 20,385,804,748.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.