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Finding the Third Proportional to 1,129,518,296 and 1,650,930,010

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Solution

The third proportional to 1,129,518,296 and 1,650,930,010 is: 2,413,037,405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,518,296 : 1,650,930,010 = 1,650,930,010 : x
  2. Step 2: Convert to fraction form
    1,129,518,296/1,650,930,010 = 1,650,930,010/x
  3. Step 3: Cross multiply
    1,129,518,296x = 1,650,930,010 × 1,650,930,010
  4. Step 4: Simplify right side
    1,129,518,296x = 2,725,569,897,918,600,192
  5. Step 5: Solve for x
    x = 2,725,569,897,918,600,192/1,129,518,296
  6. Step 6: Final answer
    x = 2,413,037,405.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.