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Finding the Third Proportional to 76,654,898,781 and 167,735,829,942

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Solution

The third proportional to 76,654,898,781 and 167,735,829,942 is: 367,038,624,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,654,898,781 : 167,735,829,942 = 167,735,829,942 : x
  2. Step 2: Convert to fraction form
    76,654,898,781/167,735,829,942 = 167,735,829,942/x
  3. Step 3: Cross multiply
    76,654,898,781x = 167,735,829,942 × 167,735,829,942
  4. Step 4: Simplify right side
    76,654,898,781x = 28,135,308,646,331,545,812,992
  5. Step 5: Solve for x
    x = 28,135,308,646,331,545,812,992/76,654,898,781
  6. Step 6: Final answer
    x = 367,038,624,977.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.