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Finding the Third Proportional to 7,653,786,460 and 11,980,266,231

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Solution

The third proportional to 7,653,786,460 and 11,980,266,231 is: 18,752,388,731.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653,786,460 : 11,980,266,231 = 11,980,266,231 : x
  2. Step 2: Convert to fraction form
    7,653,786,460/11,980,266,231 = 11,980,266,231/x
  3. Step 3: Cross multiply
    7,653,786,460x = 11,980,266,231 × 11,980,266,231
  4. Step 4: Simplify right side
    7,653,786,460x = 143,526,778,965,638,938,624
  5. Step 5: Solve for x
    x = 143,526,778,965,638,938,624/7,653,786,460
  6. Step 6: Final answer
    x = 18,752,388,731.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.