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Finding the Third Proportional to 1,278,430,312,464 and 2,781,915,859,305

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Solution

The third proportional to 1,278,430,312,464 and 2,781,915,859,305 is: 6,053,560,974,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,430,312,464 : 2,781,915,859,305 = 2,781,915,859,305 : x
  2. Step 2: Convert to fraction form
    1,278,430,312,464/2,781,915,859,305 = 2,781,915,859,305/x
  3. Step 3: Cross multiply
    1,278,430,312,464x = 2,781,915,859,305 × 2,781,915,859,305
  4. Step 4: Simplify right side
    1,278,430,312,464x = 7,739,055,848,252,676,836,950,016
  5. Step 5: Solve for x
    x = 7,739,055,848,252,676,836,950,016/1,278,430,312,464
  6. Step 6: Final answer
    x = 6,053,560,974,580.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.