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Finding the Third Proportional to 655,696,648.13 and 1,070,580,267

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Solution

The third proportional to 655,696,648.13 and 1,070,580,267 is: 1,747,976,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,696,648.13 : 1,070,580,267 = 1,070,580,267 : x
  2. Step 2: Convert to fraction form
    655,696,648.13/1,070,580,267 = 1,070,580,267/x
  3. Step 3: Cross multiply
    655,696,648.13x = 1,070,580,267 × 1,070,580,267
  4. Step 4: Simplify right side
    655,696,648.13x = 1,146,142,108,089,791,232
  5. Step 5: Solve for x
    x = 1,146,142,108,089,791,232/655,696,648.13
  6. Step 6: Final answer
    x = 1,747,976,158.44

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.