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Finding the Third Proportional to 12,754,217,424 and 17,952,922,143

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Solution

The third proportional to 12,754,217,424 and 17,952,922,143 is: 25,270,653,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754,217,424 : 17,952,922,143 = 17,952,922,143 : x
  2. Step 2: Convert to fraction form
    12,754,217,424/17,952,922,143 = 17,952,922,143/x
  3. Step 3: Cross multiply
    12,754,217,424x = 17,952,922,143 × 17,952,922,143
  4. Step 4: Simplify right side
    12,754,217,424x = 322,307,413,472,619,724,800
  5. Step 5: Solve for x
    x = 322,307,413,472,619,724,800/12,754,217,424
  6. Step 6: Final answer
    x = 25,270,653,836.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.