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Finding the Third Proportional to 641,580,163,706 and 1,359,651,660,209

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Solution

The third proportional to 641,580,163,706 and 1,359,651,660,209 is: 2,881,405,538,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,580,163,706 : 1,359,651,660,209 = 1,359,651,660,209 : x
  2. Step 2: Convert to fraction form
    641,580,163,706/1,359,651,660,209 = 1,359,651,660,209/x
  3. Step 3: Cross multiply
    641,580,163,706x = 1,359,651,660,209 × 1,359,651,660,209
  4. Step 4: Simplify right side
    641,580,163,706x = 1,848,652,637,109,089,894,137,856
  5. Step 5: Solve for x
    x = 1,848,652,637,109,089,894,137,856/641,580,163,706
  6. Step 6: Final answer
    x = 2,881,405,538,523.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.