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Finding the Third Proportional to 10,965,602,790 and 16,951,423,896

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Solution

The third proportional to 10,965,602,790 and 16,951,423,896 is: 26,204,740,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965,602,790 : 16,951,423,896 = 16,951,423,896 : x
  2. Step 2: Convert to fraction form
    10,965,602,790/16,951,423,896 = 16,951,423,896/x
  3. Step 3: Cross multiply
    10,965,602,790x = 16,951,423,896 × 16,951,423,896
  4. Step 4: Simplify right side
    10,965,602,790x = 287,350,772,101,879,824,384
  5. Step 5: Solve for x
    x = 287,350,772,101,879,824,384/10,965,602,790
  6. Step 6: Final answer
    x = 26,204,740,186.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.