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Finding the Third Proportional to 834,414,362 and 1,737,497,452

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Solution

The third proportional to 834,414,362 and 1,737,497,452 is: 3,617,983,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,414,362 : 1,737,497,452 = 1,737,497,452 : x
  2. Step 2: Convert to fraction form
    834,414,362/1,737,497,452 = 1,737,497,452/x
  3. Step 3: Cross multiply
    834,414,362x = 1,737,497,452 × 1,737,497,452
  4. Step 4: Simplify right side
    834,414,362x = 3,018,897,395,706,492,416
  5. Step 5: Solve for x
    x = 3,018,897,395,706,492,416/834,414,362
  6. Step 6: Final answer
    x = 3,617,983,502.19

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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.