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Finding the Third Proportional to 1,161,107,748,842 and 1,817,450,752,215

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Solution

The third proportional to 1,161,107,748,842 and 1,817,450,752,215 is: 2,844,806,814,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,107,748,842 : 1,817,450,752,215 = 1,817,450,752,215 : x
  2. Step 2: Convert to fraction form
    1,161,107,748,842/1,817,450,752,215 = 1,817,450,752,215/x
  3. Step 3: Cross multiply
    1,161,107,748,842x = 1,817,450,752,215 × 1,817,450,752,215
  4. Step 4: Simplify right side
    1,161,107,748,842x = 3,303,127,236,726,869,192,605,696
  5. Step 5: Solve for x
    x = 3,303,127,236,726,869,192,605,696/1,161,107,748,842
  6. Step 6: Final answer
    x = 2,844,806,814,889.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.