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Finding the Third Proportional to 7,653,786,444 and 11,980,266,209

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Solution

The third proportional to 7,653,786,444 and 11,980,266,209 is: 18,752,388,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653,786,444 : 11,980,266,209 = 11,980,266,209 : x
  2. Step 2: Convert to fraction form
    7,653,786,444/11,980,266,209 = 11,980,266,209/x
  3. Step 3: Cross multiply
    7,653,786,444x = 11,980,266,209 × 11,980,266,209
  4. Step 4: Simplify right side
    7,653,786,444x = 143,526,778,438,507,233,280
  5. Step 5: Solve for x
    x = 143,526,778,438,507,233,280/7,653,786,444
  6. Step 6: Final answer
    x = 18,752,388,701.81

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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.