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Finding the Third Proportional to 346,625,711,824 and 754,787,714,784

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Solution

The third proportional to 346,625,711,824 and 754,787,714,784 is: 1,643,572,519,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,625,711,824 : 754,787,714,784 = 754,787,714,784 : x
  2. Step 2: Convert to fraction form
    346,625,711,824/754,787,714,784 = 754,787,714,784/x
  3. Step 3: Cross multiply
    346,625,711,824x = 754,787,714,784 × 754,787,714,784
  4. Step 4: Simplify right side
    346,625,711,824x = 569,704,494,388,852,922,777,600
  5. Step 5: Solve for x
    x = 569,704,494,388,852,922,777,600/346,625,711,824
  6. Step 6: Final answer
    x = 1,643,572,519,161.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.