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Finding the Third Proportional to 4,304,350,712,344.50 and 9,486,065,185,775.60

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Solution

The third proportional to 4,304,350,712,344.50 and 9,486,065,185,775.60 is: 20,905,692,570,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304,350,712,344.50 : 9,486,065,185,775.60 = 9,486,065,185,775.60 : x
  2. Step 2: Convert to fraction form
    4,304,350,712,344.50/9,486,065,185,775.60 = 9,486,065,185,775.60/x
  3. Step 3: Cross multiply
    4,304,350,712,344.50x = 9,486,065,185,775.60 × 9,486,065,185,775.60
  4. Step 4: Simplify right side
    4,304,350,712,344.50x = 89,985,432,708,783,862,731,243,520
  5. Step 5: Solve for x
    x = 89,985,432,708,783,862,731,243,520/4,304,350,712,344.50
  6. Step 6: Final answer
    x = 20,905,692,570,708.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.