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Finding the Third Proportional to 30,831,920,062 and 49,059,645,971

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Solution

The third proportional to 30,831,920,062 and 49,059,645,971 is: 78,063,541,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831,920,062 : 49,059,645,971 = 49,059,645,971 : x
  2. Step 2: Convert to fraction form
    30,831,920,062/49,059,645,971 = 49,059,645,971/x
  3. Step 3: Cross multiply
    30,831,920,062x = 49,059,645,971 × 49,059,645,971
  4. Step 4: Simplify right side
    30,831,920,062x = 2,406,848,862,799,856,664,576
  5. Step 5: Solve for x
    x = 2,406,848,862,799,856,664,576/30,831,920,062
  6. Step 6: Final answer
    x = 78,063,541,224.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.