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Finding the Third Proportional to 6,197,653,744 and 13,279,484,182

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Solution

The third proportional to 6,197,653,744 and 13,279,484,182 is: 28,453,461,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197,653,744 : 13,279,484,182 = 13,279,484,182 : x
  2. Step 2: Convert to fraction form
    6,197,653,744/13,279,484,182 = 13,279,484,182/x
  3. Step 3: Cross multiply
    6,197,653,744x = 13,279,484,182 × 13,279,484,182
  4. Step 4: Simplify right side
    6,197,653,744x = 176,344,700,139,988,221,952
  5. Step 5: Solve for x
    x = 176,344,700,139,988,221,952/6,197,653,744
  6. Step 6: Final answer
    x = 28,453,461,168.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.