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Finding the Third Proportional to 2,037,737,088 and 4,366,083,708

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Solution

The third proportional to 2,037,737,088 and 4,366,083,708 is: 9,354,831,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,737,088 : 4,366,083,708 = 4,366,083,708 : x
  2. Step 2: Convert to fraction form
    2,037,737,088/4,366,083,708 = 4,366,083,708/x
  3. Step 3: Cross multiply
    2,037,737,088x = 4,366,083,708 × 4,366,083,708
  4. Step 4: Simplify right side
    2,037,737,088x = 19,062,686,945,263,030,272
  5. Step 5: Solve for x
    x = 19,062,686,945,263,030,272/2,037,737,088
  6. Step 6: Final answer
    x = 9,354,831,424.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.