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Finding the Third Proportional to 1,982,793,036 and 2,966,328,147.50

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Solution

The third proportional to 1,982,793,036 and 2,966,328,147.50 is: 4,437,731,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982,793,036 : 2,966,328,147.50 = 2,966,328,147.50 : x
  2. Step 2: Convert to fraction form
    1,982,793,036/2,966,328,147.50 = 2,966,328,147.50/x
  3. Step 3: Cross multiply
    1,982,793,036x = 2,966,328,147.50 × 2,966,328,147.50
  4. Step 4: Simplify right side
    1,982,793,036x = 8,799,102,678,650,781,696
  5. Step 5: Solve for x
    x = 8,799,102,678,650,781,696/1,982,793,036
  6. Step 6: Final answer
    x = 4,437,731,280.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.