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Finding the Third Proportional to 3,676,447,111,778 and 8,045,456,270,750

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Solution

The third proportional to 3,676,447,111,778 and 8,045,456,270,750 is: 17,606,500,144,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676,447,111,778 : 8,045,456,270,750 = 8,045,456,270,750 : x
  2. Step 2: Convert to fraction form
    3,676,447,111,778/8,045,456,270,750 = 8,045,456,270,750/x
  3. Step 3: Cross multiply
    3,676,447,111,778x = 8,045,456,270,750 × 8,045,456,270,750
  4. Step 4: Simplify right side
    3,676,447,111,778x = 64,729,366,604,550,497,586,118,656
  5. Step 5: Solve for x
    x = 64,729,366,604,550,497,586,118,656/3,676,447,111,778
  6. Step 6: Final answer
    x = 17,606,500,144,441.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.