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Finding the Third Proportional to 72,031,768 and 157,724,672

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Solution

The third proportional to 72,031,768 and 157,724,672 is: 345,362,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,031,768 : 157,724,672 = 157,724,672 : x
  2. Step 2: Convert to fraction form
    72,031,768/157,724,672 = 157,724,672/x
  3. Step 3: Cross multiply
    72,031,768x = 157,724,672 × 157,724,672
  4. Step 4: Simplify right side
    72,031,768x = 24,877,072,157,507,584
  5. Step 5: Solve for x
    x = 24,877,072,157,507,584/72,031,768
  6. Step 6: Final answer
    x = 345,362,509.46

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