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Finding the Third Proportional to 2,567,019,079 and 5,626,152,523

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Solution

The third proportional to 2,567,019,079 and 5,626,152,523 is: 12,330,875,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567,019,079 : 5,626,152,523 = 5,626,152,523 : x
  2. Step 2: Convert to fraction form
    2,567,019,079/5,626,152,523 = 5,626,152,523/x
  3. Step 3: Cross multiply
    2,567,019,079x = 5,626,152,523 × 5,626,152,523
  4. Step 4: Simplify right side
    2,567,019,079x = 31,653,592,212,059,267,072
  5. Step 5: Solve for x
    x = 31,653,592,212,059,267,072/2,567,019,079
  6. Step 6: Final answer
    x = 12,330,875,321.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.