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Finding the Third Proportional to 1,556,159,750 and 3,360,785,107

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Solution

The third proportional to 1,556,159,750 and 3,360,785,107 is: 7,258,172,906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556,159,750 : 3,360,785,107 = 3,360,785,107 : x
  2. Step 2: Convert to fraction form
    1,556,159,750/3,360,785,107 = 3,360,785,107/x
  3. Step 3: Cross multiply
    1,556,159,750x = 3,360,785,107 × 3,360,785,107
  4. Step 4: Simplify right side
    1,556,159,750x = 11,294,876,535,433,000,960
  5. Step 5: Solve for x
    x = 11,294,876,535,433,000,960/1,556,159,750
  6. Step 6: Final answer
    x = 7,258,172,906.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.