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Finding the Third Proportional to 337,112,355,816 and 487,069,138,890

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Solution

The third proportional to 337,112,355,816 and 487,069,138,890 is: 703,730,794,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,112,355,816 : 487,069,138,890 = 487,069,138,890 : x
  2. Step 2: Convert to fraction form
    337,112,355,816/487,069,138,890 = 487,069,138,890/x
  3. Step 3: Cross multiply
    337,112,355,816x = 487,069,138,890 × 487,069,138,890
  4. Step 4: Simplify right side
    337,112,355,816x = 237,236,346,059,046,126,616,576
  5. Step 5: Solve for x
    x = 237,236,346,059,046,126,616,576/337,112,355,816
  6. Step 6: Final answer
    x = 703,730,794,692.48

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.