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Finding the Third Proportional to 2,567,019,078 and 5,626,152,522

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Solution

The third proportional to 2,567,019,078 and 5,626,152,522 is: 12,330,875,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567,019,078 : 5,626,152,522 = 5,626,152,522 : x
  2. Step 2: Convert to fraction form
    2,567,019,078/5,626,152,522 = 5,626,152,522/x
  3. Step 3: Cross multiply
    2,567,019,078x = 5,626,152,522 × 5,626,152,522
  4. Step 4: Simplify right side
    2,567,019,078x = 31,653,592,200,806,961,152
  5. Step 5: Solve for x
    x = 31,653,592,200,806,961,152/2,567,019,078
  6. Step 6: Final answer
    x = 12,330,875,322.31

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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.