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Finding the Third Proportional to 1,366,514,341,425 and 2,938,684,392,468

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Solution

The third proportional to 1,366,514,341,425 and 2,938,684,392,468 is: 6,319,630,681,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,514,341,425 : 2,938,684,392,468 = 2,938,684,392,468 : x
  2. Step 2: Convert to fraction form
    1,366,514,341,425/2,938,684,392,468 = 2,938,684,392,468/x
  3. Step 3: Cross multiply
    1,366,514,341,425x = 2,938,684,392,468 × 2,938,684,392,468
  4. Step 4: Simplify right side
    1,366,514,341,425x = 8,635,865,958,535,017,791,488,000
  5. Step 5: Solve for x
    x = 8,635,865,958,535,017,791,488,000/1,366,514,341,425
  6. Step 6: Final answer
    x = 6,319,630,681,321.31

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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.