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Finding the Third Proportional to 72,000,744 and 157,678,032

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Solution

The third proportional to 72,000,744 and 157,678,032 is: 345,307,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,000,744 : 157,678,032 = 157,678,032 : x
  2. Step 2: Convert to fraction form
    72,000,744/157,678,032 = 157,678,032/x
  3. Step 3: Cross multiply
    72,000,744x = 157,678,032 × 157,678,032
  4. Step 4: Simplify right side
    72,000,744x = 24,862,361,775,393,024
  5. Step 5: Solve for x
    x = 24,862,361,775,393,024/72,000,744
  6. Step 6: Final answer
    x = 345,307,012.04

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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.