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Finding the Third Proportional to 619,889,320 and 1,348,737,136

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Solution

The third proportional to 619,889,320 and 1,348,737,136 is: 2,934,542,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,889,320 : 1,348,737,136 = 1,348,737,136 : x
  2. Step 2: Convert to fraction form
    619,889,320/1,348,737,136 = 1,348,737,136/x
  3. Step 3: Cross multiply
    619,889,320x = 1,348,737,136 × 1,348,737,136
  4. Step 4: Simplify right side
    619,889,320x = 1,819,091,862,025,482,496
  5. Step 5: Solve for x
    x = 1,819,091,862,025,482,496/619,889,320
  6. Step 6: Final answer
    x = 2,934,542,995.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.