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Finding the Third Proportional to 1,240,845,265.50 and 2,677,781,343

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Solution

The third proportional to 1,240,845,265.50 and 2,677,781,343 is: 5,778,732,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240,845,265.50 : 2,677,781,343 = 2,677,781,343 : x
  2. Step 2: Convert to fraction form
    1,240,845,265.50/2,677,781,343 = 2,677,781,343/x
  3. Step 3: Cross multiply
    1,240,845,265.50x = 2,677,781,343 × 2,677,781,343
  4. Step 4: Simplify right side
    1,240,845,265.50x = 7,170,512,920,918,883,328
  5. Step 5: Solve for x
    x = 7,170,512,920,918,883,328/1,240,845,265.50
  6. Step 6: Final answer
    x = 5,778,732,546.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.