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Finding the Third Proportional to 6,133,144,329 and 13,340,879,007

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Solution

The third proportional to 6,133,144,329 and 13,340,879,007 is: 29,019,218,060.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133,144,329 : 13,340,879,007 = 13,340,879,007 : x
  2. Step 2: Convert to fraction form
    6,133,144,329/13,340,879,007 = 13,340,879,007/x
  3. Step 3: Cross multiply
    6,133,144,329x = 13,340,879,007 × 13,340,879,007
  4. Step 4: Simplify right side
    6,133,144,329x = 177,979,052,679,413,301,248
  5. Step 5: Solve for x
    x = 177,979,052,679,413,301,248/6,133,144,329
  6. Step 6: Final answer
    x = 29,019,218,060.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.