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Finding the Third Proportional to 1,413,679,502 and 2,277,814,265

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Solution

The third proportional to 1,413,679,502 and 2,277,814,265 is: 3,670,165,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,679,502 : 2,277,814,265 = 2,277,814,265 : x
  2. Step 2: Convert to fraction form
    1,413,679,502/2,277,814,265 = 2,277,814,265/x
  3. Step 3: Cross multiply
    1,413,679,502x = 2,277,814,265 × 2,277,814,265
  4. Step 4: Simplify right side
    1,413,679,502x = 5,188,437,825,837,490,176
  5. Step 5: Solve for x
    x = 5,188,437,825,837,490,176/1,413,679,502
  6. Step 6: Final answer
    x = 3,670,165,563.34

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Why These Related Problems?

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