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Finding the Third Proportional to 704,239,576,857 and 1,525,418,962,528.50

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Solution

The third proportional to 704,239,576,857 and 1,525,418,962,528.50 is: 3,304,135,535,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,239,576,857 : 1,525,418,962,528.50 = 1,525,418,962,528.50 : x
  2. Step 2: Convert to fraction form
    704,239,576,857/1,525,418,962,528.50 = 1,525,418,962,528.50/x
  3. Step 3: Cross multiply
    704,239,576,857x = 1,525,418,962,528.50 × 1,525,418,962,528.50
  4. Step 4: Simplify right side
    704,239,576,857x = 2,326,903,011,241,525,203,959,808
  5. Step 5: Solve for x
    x = 2,326,903,011,241,525,203,959,808/704,239,576,857
  6. Step 6: Final answer
    x = 3,304,135,535,276.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.