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Finding the Third Proportional to 1,337,930,001 and 2,005,966,510.50

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Solution

The third proportional to 1,337,930,001 and 2,005,966,510.50 is: 3,007,557,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337,930,001 : 2,005,966,510.50 = 2,005,966,510.50 : x
  2. Step 2: Convert to fraction form
    1,337,930,001/2,005,966,510.50 = 2,005,966,510.50/x
  3. Step 3: Cross multiply
    1,337,930,001x = 2,005,966,510.50 × 2,005,966,510.50
  4. Step 4: Simplify right side
    1,337,930,001x = 4,023,901,641,247,546,368
  5. Step 5: Solve for x
    x = 4,023,901,641,247,546,368/1,337,930,001
  6. Step 6: Final answer
    x = 3,007,557,673.60

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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.