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Finding the Third Proportional to 1,366,514,341,362 and 2,938,684,392,180

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Solution

The third proportional to 1,366,514,341,362 and 2,938,684,392,180 is: 6,319,630,680,373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,514,341,362 : 2,938,684,392,180 = 2,938,684,392,180 : x
  2. Step 2: Convert to fraction form
    1,366,514,341,362/2,938,684,392,180 = 2,938,684,392,180/x
  3. Step 3: Cross multiply
    1,366,514,341,362x = 2,938,684,392,180 × 2,938,684,392,180
  4. Step 4: Simplify right side
    1,366,514,341,362x = 8,635,865,956,842,335,746,654,208
  5. Step 5: Solve for x
    x = 8,635,865,956,842,335,746,654,208/1,366,514,341,362
  6. Step 6: Final answer
    x = 6,319,630,680,373.98

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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.