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Finding the Third Proportional to 655,696,656 and 1,070,580,278.25

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Solution

The third proportional to 655,696,656 and 1,070,580,278.25 is: 1,747,976,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,696,656 : 1,070,580,278.25 = 1,070,580,278.25 : x
  2. Step 2: Convert to fraction form
    655,696,656/1,070,580,278.25 = 1,070,580,278.25/x
  3. Step 3: Cross multiply
    655,696,656x = 1,070,580,278.25 × 1,070,580,278.25
  4. Step 4: Simplify right side
    655,696,656x = 1,146,142,132,177,847,424
  5. Step 5: Solve for x
    x = 1,146,142,132,177,847,424/655,696,656
  6. Step 6: Final answer
    x = 1,747,976,174.18

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