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Finding the Third Proportional to 1,203,274,046,712 and 1,820,386,823,029

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Solution

The third proportional to 1,203,274,046,712 and 1,820,386,823,029 is: 2,753,992,903,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,274,046,712 : 1,820,386,823,029 = 1,820,386,823,029 : x
  2. Step 2: Convert to fraction form
    1,203,274,046,712/1,820,386,823,029 = 1,820,386,823,029/x
  3. Step 3: Cross multiply
    1,203,274,046,712x = 1,820,386,823,029 × 1,820,386,823,029
  4. Step 4: Simplify right side
    1,203,274,046,712x = 3,313,808,185,457,615,952,674,816
  5. Step 5: Solve for x
    x = 3,313,808,185,457,615,952,674,816/1,203,274,046,712
  6. Step 6: Final answer
    x = 2,753,992,903,372.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.