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Finding the Third Proportional to 834,414,075 and 1,737,496,921.50

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Solution

The third proportional to 834,414,075 and 1,737,496,921.50 is: 3,617,982,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,414,075 : 1,737,496,921.50 = 1,737,496,921.50 : x
  2. Step 2: Convert to fraction form
    834,414,075/1,737,496,921.50 = 1,737,496,921.50/x
  3. Step 3: Cross multiply
    834,414,075x = 1,737,496,921.50 × 1,737,496,921.50
  4. Step 4: Simplify right side
    834,414,075x = 3,018,895,552,221,977,088
  5. Step 5: Solve for x
    x = 3,018,895,552,221,977,088/834,414,075
  6. Step 6: Final answer
    x = 3,617,982,537.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.