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Finding the Third Proportional to 8,720,839,826 and 19,130,053,036

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Solution

The third proportional to 8,720,839,826 and 19,130,053,036 is: 41,963,725,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720,839,826 : 19,130,053,036 = 19,130,053,036 : x
  2. Step 2: Convert to fraction form
    8,720,839,826/19,130,053,036 = 19,130,053,036/x
  3. Step 3: Cross multiply
    8,720,839,826x = 19,130,053,036 × 19,130,053,036
  4. Step 4: Simplify right side
    8,720,839,826x = 365,958,929,160,172,797,952
  5. Step 5: Solve for x
    x = 365,958,929,160,172,797,952/8,720,839,826
  6. Step 6: Final answer
    x = 41,963,725,565.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.