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Finding the Third Proportional to 1,225,715,328 and 1,951,298,208

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Solution

The third proportional to 1,225,715,328 and 1,951,298,208 is: 3,106,402,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,715,328 : 1,951,298,208 = 1,951,298,208 : x
  2. Step 2: Convert to fraction form
    1,225,715,328/1,951,298,208 = 1,951,298,208/x
  3. Step 3: Cross multiply
    1,225,715,328x = 1,951,298,208 × 1,951,298,208
  4. Step 4: Simplify right side
    1,225,715,328x = 3,807,564,696,544,011,264
  5. Step 5: Solve for x
    x = 3,807,564,696,544,011,264/1,225,715,328
  6. Step 6: Final answer
    x = 3,106,402,122.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.