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Finding the Third Proportional to 2,077,498,020 and 3,105,877,632

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Solution

The third proportional to 2,077,498,020 and 3,105,877,632 is: 4,643,314,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,498,020 : 3,105,877,632 = 3,105,877,632 : x
  2. Step 2: Convert to fraction form
    2,077,498,020/3,105,877,632 = 3,105,877,632/x
  3. Step 3: Cross multiply
    2,077,498,020x = 3,105,877,632 × 3,105,877,632
  4. Step 4: Simplify right side
    2,077,498,020x = 9,646,475,864,957,927,424
  5. Step 5: Solve for x
    x = 9,646,475,864,957,927,424/2,077,498,020
  6. Step 6: Final answer
    x = 4,643,314,107.69

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