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Finding the Third Proportional to 151,827,461,407 and 316,221,589,526

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Solution

The third proportional to 151,827,461,407 and 316,221,589,526 is: 658,616,647,842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,827,461,407 : 316,221,589,526 = 316,221,589,526 : x
  2. Step 2: Convert to fraction form
    151,827,461,407/316,221,589,526 = 316,221,589,526/x
  3. Step 3: Cross multiply
    151,827,461,407x = 316,221,589,526 × 316,221,589,526
  4. Step 4: Simplify right side
    151,827,461,407x = 99,996,093,682,350,026,653,696
  5. Step 5: Solve for x
    x = 99,996,093,682,350,026,653,696/151,827,461,407
  6. Step 6: Final answer
    x = 658,616,647,842.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.