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Finding the Third Proportional to 5,164,661,814 and 11,047,359,468

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Solution

The third proportional to 5,164,661,814 and 11,047,359,468 is: 23,630,618,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164,661,814 : 11,047,359,468 = 11,047,359,468 : x
  2. Step 2: Convert to fraction form
    5,164,661,814/11,047,359,468 = 11,047,359,468/x
  3. Step 3: Cross multiply
    5,164,661,814x = 11,047,359,468 × 11,047,359,468
  4. Step 4: Simplify right side
    5,164,661,814x = 122,044,151,215,209,250,816
  5. Step 5: Solve for x
    x = 122,044,151,215,209,250,816/5,164,661,814
  6. Step 6: Final answer
    x = 23,630,618,152.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.