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Finding the Third Proportional to 540,709,936 and 1,110,084,272

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Solution

The third proportional to 540,709,936 and 1,110,084,272 is: 2,279,016,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,709,936 : 1,110,084,272 = 1,110,084,272 : x
  2. Step 2: Convert to fraction form
    540,709,936/1,110,084,272 = 1,110,084,272/x
  3. Step 3: Cross multiply
    540,709,936x = 1,110,084,272 × 1,110,084,272
  4. Step 4: Simplify right side
    540,709,936x = 1,232,287,090,941,769,984
  5. Step 5: Solve for x
    x = 1,232,287,090,941,769,984/540,709,936
  6. Step 6: Final answer
    x = 2,279,016,916.27

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.