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Finding the Third Proportional to 647,098,239,530 and 1,406,827,386,566

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Solution

The third proportional to 647,098,239,530 and 1,406,827,386,566 is: 3,058,520,599,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,098,239,530 : 1,406,827,386,566 = 1,406,827,386,566 : x
  2. Step 2: Convert to fraction form
    647,098,239,530/1,406,827,386,566 = 1,406,827,386,566/x
  3. Step 3: Cross multiply
    647,098,239,530x = 1,406,827,386,566 × 1,406,827,386,566
  4. Step 4: Simplify right side
    647,098,239,530x = 1,979,163,295,592,121,567,805,440
  5. Step 5: Solve for x
    x = 1,979,163,295,592,121,567,805,440/647,098,239,530
  6. Step 6: Final answer
    x = 3,058,520,599,638.20

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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.