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Finding the Third Proportional to 1,366,514,341,028 and 2,938,684,391,704

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Solution

The third proportional to 1,366,514,341,028 and 2,938,684,391,704 is: 6,319,630,679,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,514,341,028 : 2,938,684,391,704 = 2,938,684,391,704 : x
  2. Step 2: Convert to fraction form
    1,366,514,341,028/2,938,684,391,704 = 2,938,684,391,704/x
  3. Step 3: Cross multiply
    1,366,514,341,028x = 2,938,684,391,704 × 2,938,684,391,704
  4. Step 4: Simplify right side
    1,366,514,341,028x = 8,635,865,954,044,708,940,414,976
  5. Step 5: Solve for x
    x = 8,635,865,954,044,708,940,414,976/1,366,514,341,028
  6. Step 6: Final answer
    x = 6,319,630,679,871.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.