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Finding the Third Proportional to 54,072,234 and 83,780,010

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Solution

The third proportional to 54,072,234 and 83,780,010 is: 129,809,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072,234 : 83,780,010 = 83,780,010 : x
  2. Step 2: Convert to fraction form
    54,072,234/83,780,010 = 83,780,010/x
  3. Step 3: Cross multiply
    54,072,234x = 83,780,010 × 83,780,010
  4. Step 4: Simplify right side
    54,072,234x = 7,019,090,075,600,100
  5. Step 5: Solve for x
    x = 7,019,090,075,600,100/54,072,234
  6. Step 6: Final answer
    x = 129,809,507.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.