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Finding the Third Proportional to 634,066,308 and 1,285,961,121

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Solution

The third proportional to 634,066,308 and 1,285,961,121 is: 2,608,080,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,066,308 : 1,285,961,121 = 1,285,961,121 : x
  2. Step 2: Convert to fraction form
    634,066,308/1,285,961,121 = 1,285,961,121/x
  3. Step 3: Cross multiply
    634,066,308x = 1,285,961,121 × 1,285,961,121
  4. Step 4: Simplify right side
    634,066,308x = 1,653,696,004,723,576,576
  5. Step 5: Solve for x
    x = 1,653,696,004,723,576,576/634,066,308
  6. Step 6: Final answer
    x = 2,608,080,549.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.