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Finding the Third Proportional to 275,692,616,306.32 and 590,113,492,396.20

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Solution

The third proportional to 275,692,616,306.32 and 590,113,492,396.20 is: 1,263,123,904,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,692,616,306.32 : 590,113,492,396.20 = 590,113,492,396.20 : x
  2. Step 2: Convert to fraction form
    275,692,616,306.32/590,113,492,396.20 = 590,113,492,396.20/x
  3. Step 3: Cross multiply
    275,692,616,306.32x = 590,113,492,396.20 × 590,113,492,396.20
  4. Step 4: Simplify right side
    275,692,616,306.32x = 348,233,933,908,039,922,876,416
  5. Step 5: Solve for x
    x = 348,233,933,908,039,922,876,416/275,692,616,306.32
  6. Step 6: Final answer
    x = 1,263,123,904,345.41

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Why These Related Problems?

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