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Finding the Third Proportional to 40,362,275,899.75 and 86,481,679,283

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Solution

The third proportional to 40,362,275,899.75 and 86,481,679,283 is: 185,298,789,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,362,275,899.75 : 86,481,679,283 = 86,481,679,283 : x
  2. Step 2: Convert to fraction form
    40,362,275,899.75/86,481,679,283 = 86,481,679,283/x
  3. Step 3: Cross multiply
    40,362,275,899.75x = 86,481,679,283 × 86,481,679,283
  4. Step 4: Simplify right side
    40,362,275,899.75x = 7,479,080,851,607,671,275,520
  5. Step 5: Solve for x
    x = 7,479,080,851,607,671,275,520/40,362,275,899.75
  6. Step 6: Final answer
    x = 185,298,789,151.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.