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Finding the Third Proportional to 2,770,316,117,010 and 5,957,555,283,522

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Solution

The third proportional to 2,770,316,117,010 and 5,957,555,283,522 is: 12,811,702,151,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770,316,117,010 : 5,957,555,283,522 = 5,957,555,283,522 : x
  2. Step 2: Convert to fraction form
    2,770,316,117,010/5,957,555,283,522 = 5,957,555,283,522/x
  3. Step 3: Cross multiply
    2,770,316,117,010x = 5,957,555,283,522 × 5,957,555,283,522
  4. Step 4: Simplify right side
    2,770,316,117,010x = 35,492,464,956,220,896,190,660,608
  5. Step 5: Solve for x
    x = 35,492,464,956,220,896,190,660,608/2,770,316,117,010
  6. Step 6: Final answer
    x = 12,811,702,151,351.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.