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Finding the Third Proportional to 7,619,305,057 and 16,406,252,329

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Solution

The third proportional to 7,619,305,057 and 16,406,252,329 is: 35,326,727,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,619,305,057 : 16,406,252,329 = 16,406,252,329 : x
  2. Step 2: Convert to fraction form
    7,619,305,057/16,406,252,329 = 16,406,252,329/x
  3. Step 3: Cross multiply
    7,619,305,057x = 16,406,252,329 × 16,406,252,329
  4. Step 4: Simplify right side
    7,619,305,057x = 269,165,115,482,817,921,024
  5. Step 5: Solve for x
    x = 269,165,115,482,817,921,024/7,619,305,057
  6. Step 6: Final answer
    x = 35,326,727,761.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.