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Finding the Third Proportional to 1,172,902,007 and 1,721,008,944

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Solution

The third proportional to 1,172,902,007 and 1,721,008,944 is: 2,525,250,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,902,007 : 1,721,008,944 = 1,721,008,944 : x
  2. Step 2: Convert to fraction form
    1,172,902,007/1,721,008,944 = 1,721,008,944/x
  3. Step 3: Cross multiply
    1,172,902,007x = 1,721,008,944 × 1,721,008,944
  4. Step 4: Simplify right side
    1,172,902,007x = 2,961,871,785,327,994,880
  5. Step 5: Solve for x
    x = 2,961,871,785,327,994,880/1,172,902,007
  6. Step 6: Final answer
    x = 2,525,250,845.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.