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Finding the Third Proportional to 1,838,573,000 and 2,926,947,324

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Solution

The third proportional to 1,838,573,000 and 2,926,947,324 is: 4,659,603,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838,573,000 : 2,926,947,324 = 2,926,947,324 : x
  2. Step 2: Convert to fraction form
    1,838,573,000/2,926,947,324 = 2,926,947,324/x
  3. Step 3: Cross multiply
    1,838,573,000x = 2,926,947,324 × 2,926,947,324
  4. Step 4: Simplify right side
    1,838,573,000x = 8,567,020,637,470,760,960
  5. Step 5: Solve for x
    x = 8,567,020,637,470,760,960/1,838,573,000
  6. Step 6: Final answer
    x = 4,659,603,201.76

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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.