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Finding the Third Proportional to 76,654,898,783 and 167,735,829,946

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Solution

The third proportional to 76,654,898,783 and 167,735,829,946 is: 367,038,624,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,654,898,783 : 167,735,829,946 = 167,735,829,946 : x
  2. Step 2: Convert to fraction form
    76,654,898,783/167,735,829,946 = 167,735,829,946/x
  3. Step 3: Cross multiply
    76,654,898,783x = 167,735,829,946 × 167,735,829,946
  4. Step 4: Simplify right side
    76,654,898,783x = 28,135,308,647,673,429,491,712
  5. Step 5: Solve for x
    x = 28,135,308,647,673,429,491,712/76,654,898,783
  6. Step 6: Final answer
    x = 367,038,624,984.96

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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.