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Finding the Third Proportional to 545,850,144 and 1,288,567,008

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Solution

The third proportional to 545,850,144 and 1,288,567,008 is: 3,041,869,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,850,144 : 1,288,567,008 = 1,288,567,008 : x
  2. Step 2: Convert to fraction form
    545,850,144/1,288,567,008 = 1,288,567,008/x
  3. Step 3: Cross multiply
    545,850,144x = 1,288,567,008 × 1,288,567,008
  4. Step 4: Simplify right side
    545,850,144x = 1,660,404,934,106,072,064
  5. Step 5: Solve for x
    x = 1,660,404,934,106,072,064/545,850,144
  6. Step 6: Final answer
    x = 3,041,869,554.05

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.