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Finding the Third Proportional to 1,413,679,496 and 2,277,814,256

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Solution

The third proportional to 1,413,679,496 and 2,277,814,256 is: 3,670,165,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,679,496 : 2,277,814,256 = 2,277,814,256 : x
  2. Step 2: Convert to fraction form
    1,413,679,496/2,277,814,256 = 2,277,814,256/x
  3. Step 3: Cross multiply
    1,413,679,496x = 2,277,814,256 × 2,277,814,256
  4. Step 4: Simplify right side
    1,413,679,496x = 5,188,437,784,836,833,280
  5. Step 5: Solve for x
    x = 5,188,437,784,836,833,280/1,413,679,496
  6. Step 6: Final answer
    x = 3,670,165,549.91

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.