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Finding the Third Proportional to 3,841,199,605.79 and 5,761,799,017.14

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Solution

The third proportional to 3,841,199,605.79 and 5,761,799,017.14 is: 8,642,697,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841,199,605.79 : 5,761,799,017.14 = 5,761,799,017.14 : x
  2. Step 2: Convert to fraction form
    3,841,199,605.79/5,761,799,017.14 = 5,761,799,017.14/x
  3. Step 3: Cross multiply
    3,841,199,605.79x = 5,761,799,017.14 × 5,761,799,017.14
  4. Step 4: Simplify right side
    3,841,199,605.79x = 33,198,327,913,875,140,608
  5. Step 5: Solve for x
    x = 33,198,327,913,875,140,608/3,841,199,605.79
  6. Step 6: Final answer
    x = 8,642,697,938.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.