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Finding the Third Proportional to 46,971,595,443,888 and 95,282,527,732,032

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Solution

The third proportional to 46,971,595,443,888 and 95,282,527,732,032 is: 193,281,918,683,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,971,595,443,888 : 95,282,527,732,032 = 95,282,527,732,032 : x
  2. Step 2: Convert to fraction form
    46,971,595,443,888/95,282,527,732,032 = 95,282,527,732,032/x
  3. Step 3: Cross multiply
    46,971,595,443,888x = 95,282,527,732,032 × 95,282,527,732,032
  4. Step 4: Simplify right side
    46,971,595,443,888x = 9,078,760,091,005,447,166,872,256,512
  5. Step 5: Solve for x
    x = 9,078,760,091,005,447,166,872,256,512/46,971,595,443,888
  6. Step 6: Final answer
    x = 193,281,918,683,194.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.