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Finding the Third Proportional to 73,664,623 and 160,407,678

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Solution

The third proportional to 73,664,623 and 160,407,678 is: 349,294,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,664,623 : 160,407,678 = 160,407,678 : x
  2. Step 2: Convert to fraction form
    73,664,623/160,407,678 = 160,407,678/x
  3. Step 3: Cross multiply
    73,664,623x = 160,407,678 × 160,407,678
  4. Step 4: Simplify right side
    73,664,623x = 25,730,623,161,351,684
  5. Step 5: Solve for x
    x = 25,730,623,161,351,684/73,664,623
  6. Step 6: Final answer
    x = 349,294,167.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.