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Finding the Third Proportional to 76,654,898,776.50 and 167,735,829,928.50

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Solution

The third proportional to 76,654,898,776.50 and 167,735,829,928.50 is: 367,038,624,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,654,898,776.50 : 167,735,829,928.50 = 167,735,829,928.50 : x
  2. Step 2: Convert to fraction form
    76,654,898,776.50/167,735,829,928.50 = 167,735,829,928.50/x
  3. Step 3: Cross multiply
    76,654,898,776.50x = 167,735,829,928.50 × 167,735,829,928.50
  4. Step 4: Simplify right side
    76,654,898,776.50x = 28,135,308,641,802,674,765,824
  5. Step 5: Solve for x
    x = 28,135,308,641,802,674,765,824/76,654,898,776.50
  6. Step 6: Final answer
    x = 367,038,624,939.49

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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.