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Finding the Third Proportional to 2,567,018,964 and 5,626,152,296

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Solution

The third proportional to 2,567,018,964 and 5,626,152,296 is: 12,330,874,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567,018,964 : 5,626,152,296 = 5,626,152,296 : x
  2. Step 2: Convert to fraction form
    2,567,018,964/5,626,152,296 = 5,626,152,296/x
  3. Step 3: Cross multiply
    2,567,018,964x = 5,626,152,296 × 5,626,152,296
  4. Step 4: Simplify right side
    2,567,018,964x = 31,653,589,657,786,073,088
  5. Step 5: Solve for x
    x = 31,653,589,657,786,073,088/2,567,018,964
  6. Step 6: Final answer
    x = 12,330,874,879.27

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