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Finding the Third Proportional to 123,540,070 and 263,495,492

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Solution

The third proportional to 123,540,070 and 263,495,492 is: 562,002,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,540,070 : 263,495,492 = 263,495,492 : x
  2. Step 2: Convert to fraction form
    123,540,070/263,495,492 = 263,495,492/x
  3. Step 3: Cross multiply
    123,540,070x = 263,495,492 × 263,495,492
  4. Step 4: Simplify right side
    123,540,070x = 69,429,874,304,322,064
  5. Step 5: Solve for x
    x = 69,429,874,304,322,064/123,540,070
  6. Step 6: Final answer
    x = 562,002,873.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.