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Finding the Third Proportional to 2,567,019,076.50 and 5,626,152,519

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Solution

The third proportional to 2,567,019,076.50 and 5,626,152,519 is: 12,330,875,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567,019,076.50 : 5,626,152,519 = 5,626,152,519 : x
  2. Step 2: Convert to fraction form
    2,567,019,076.50/5,626,152,519 = 5,626,152,519/x
  3. Step 3: Cross multiply
    2,567,019,076.50x = 5,626,152,519 × 5,626,152,519
  4. Step 4: Simplify right side
    2,567,019,076.50x = 31,653,592,167,050,043,392
  5. Step 5: Solve for x
    x = 31,653,592,167,050,043,392/2,567,019,076.50
  6. Step 6: Final answer
    x = 12,330,875,316.36

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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.