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Finding the Third Proportional to 834,414,060 and 1,737,496,893

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Solution

The third proportional to 834,414,060 and 1,737,496,893 is: 3,617,982,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,414,060 : 1,737,496,893 = 1,737,496,893 : x
  2. Step 2: Convert to fraction form
    834,414,060/1,737,496,893 = 1,737,496,893/x
  3. Step 3: Cross multiply
    834,414,060x = 1,737,496,893 × 1,737,496,893
  4. Step 4: Simplify right side
    834,414,060x = 3,018,895,453,184,653,312
  5. Step 5: Solve for x
    x = 3,018,895,453,184,653,312/834,414,060
  6. Step 6: Final answer
    x = 3,617,982,483.64

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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.