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Finding the Third Proportional to 320,794,900,331.80 and 688,158,422,090.45

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Solution

The third proportional to 320,794,900,331.80 and 688,158,422,090.45 is: 1,476,214,283,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,794,900,331.80 : 688,158,422,090.45 = 688,158,422,090.45 : x
  2. Step 2: Convert to fraction form
    320,794,900,331.80/688,158,422,090.45 = 688,158,422,090.45/x
  3. Step 3: Cross multiply
    320,794,900,331.80x = 688,158,422,090.45 × 688,158,422,090.45
  4. Step 4: Simplify right side
    320,794,900,331.80x = 473,562,013,894,017,890,123,776
  5. Step 5: Solve for x
    x = 473,562,013,894,017,890,123,776/320,794,900,331.80
  6. Step 6: Final answer
    x = 1,476,214,283,344.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.