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Finding the Third Proportional to 44,342,205,882 and 91,827,532,020

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Solution

The third proportional to 44,342,205,882 and 91,827,532,020 is: 190,164,099,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,342,205,882 : 91,827,532,020 = 91,827,532,020 : x
  2. Step 2: Convert to fraction form
    44,342,205,882/91,827,532,020 = 91,827,532,020/x
  3. Step 3: Cross multiply
    44,342,205,882x = 91,827,532,020 × 91,827,532,020
  4. Step 4: Simplify right side
    44,342,205,882x = 8,432,295,636,884,125,646,848
  5. Step 5: Solve for x
    x = 8,432,295,636,884,125,646,848/44,342,205,882
  6. Step 6: Final answer
    x = 190,164,099,172.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.