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Finding the Third Proportional to 8,636,250,008.25 and 13,268,643,642

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Solution

The third proportional to 8,636,250,008.25 and 13,268,643,642 is: 20,385,804,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,636,250,008.25 : 13,268,643,642 = 13,268,643,642 : x
  2. Step 2: Convert to fraction form
    8,636,250,008.25/13,268,643,642 = 13,268,643,642/x
  3. Step 3: Cross multiply
    8,636,250,008.25x = 13,268,643,642 × 13,268,643,642
  4. Step 4: Simplify right side
    8,636,250,008.25x = 176,056,904,098,387,034,112
  5. Step 5: Solve for x
    x = 176,056,904,098,387,034,112/8,636,250,008.25
  6. Step 6: Final answer
    x = 20,385,804,478.82

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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.