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Finding the Third Proportional to 16,650,926,912 and 35,955,722,798

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Solution

The third proportional to 16,650,926,912 and 35,955,722,798 is: 77,642,164,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,650,926,912 : 35,955,722,798 = 35,955,722,798 : x
  2. Step 2: Convert to fraction form
    16,650,926,912/35,955,722,798 = 35,955,722,798/x
  3. Step 3: Cross multiply
    16,650,926,912x = 35,955,722,798 × 35,955,722,798
  4. Step 4: Simplify right side
    16,650,926,912x = 1,292,814,001,926,616,907,776
  5. Step 5: Solve for x
    x = 1,292,814,001,926,616,907,776/16,650,926,912
  6. Step 6: Final answer
    x = 77,642,164,232.61

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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.