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Finding the Third Proportional to 647,098,239,518 and 1,406,827,386,544

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Solution

The third proportional to 647,098,239,518 and 1,406,827,386,544 is: 3,058,520,599,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,098,239,518 : 1,406,827,386,544 = 1,406,827,386,544 : x
  2. Step 2: Convert to fraction form
    647,098,239,518/1,406,827,386,544 = 1,406,827,386,544/x
  3. Step 3: Cross multiply
    647,098,239,518x = 1,406,827,386,544 × 1,406,827,386,544
  4. Step 4: Simplify right side
    647,098,239,518x = 1,979,163,295,530,221,156,958,208
  5. Step 5: Solve for x
    x = 1,979,163,295,530,221,156,958,208/647,098,239,518
  6. Step 6: Final answer
    x = 3,058,520,599,599.26

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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.