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Finding the Third Proportional to 832,618,567,066 and 1,123,397,941,267.50

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Solution

The third proportional to 832,618,567,066 and 1,123,397,941,267.50 is: 1,515,727,590,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,618,567,066 : 1,123,397,941,267.50 = 1,123,397,941,267.50 : x
  2. Step 2: Convert to fraction form
    832,618,567,066/1,123,397,941,267.50 = 1,123,397,941,267.50/x
  3. Step 3: Cross multiply
    832,618,567,066x = 1,123,397,941,267.50 × 1,123,397,941,267.50
  4. Step 4: Simplify right side
    832,618,567,066x = 1,262,022,934,444,057,347,227,648
  5. Step 5: Solve for x
    x = 1,262,022,934,444,057,347,227,648/832,618,567,066
  6. Step 6: Final answer
    x = 1,515,727,590,475.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.