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Finding the Third Proportional to 16,650,926,908 and 35,955,722,786

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Solution

The third proportional to 16,650,926,908 and 35,955,722,786 is: 77,642,164,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,650,926,908 : 35,955,722,786 = 35,955,722,786 : x
  2. Step 2: Convert to fraction form
    16,650,926,908/35,955,722,786 = 35,955,722,786/x
  3. Step 3: Cross multiply
    16,650,926,908x = 35,955,722,786 × 35,955,722,786
  4. Step 4: Simplify right side
    16,650,926,908x = 1,292,814,001,063,679,492,096
  5. Step 5: Solve for x
    x = 1,292,814,001,063,679,492,096/16,650,926,908
  6. Step 6: Final answer
    x = 77,642,164,199.43

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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.