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Finding the Third Proportional to 121,146,702 and 264,495,827

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Solution

The third proportional to 121,146,702 and 264,495,827 is: 577,465,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,146,702 : 264,495,827 = 264,495,827 : x
  2. Step 2: Convert to fraction form
    121,146,702/264,495,827 = 264,495,827/x
  3. Step 3: Cross multiply
    121,146,702x = 264,495,827 × 264,495,827
  4. Step 4: Simplify right side
    121,146,702x = 69,958,042,500,413,928
  5. Step 5: Solve for x
    x = 69,958,042,500,413,928/121,146,702
  6. Step 6: Final answer
    x = 577,465,513.67

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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.