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Finding the Third Proportional to 540,051,099 and 1,178,227,308

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Solution

The third proportional to 540,051,099 and 1,178,227,308 is: 2,570,533,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,051,099 : 1,178,227,308 = 1,178,227,308 : x
  2. Step 2: Convert to fraction form
    540,051,099/1,178,227,308 = 1,178,227,308/x
  3. Step 3: Cross multiply
    540,051,099x = 1,178,227,308 × 1,178,227,308
  4. Step 4: Simplify right side
    540,051,099x = 1,388,219,589,316,926,976
  5. Step 5: Solve for x
    x = 1,388,219,589,316,926,976/540,051,099
  6. Step 6: Final answer
    x = 2,570,533,773.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.