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Finding the Third Proportional to 245,276,946 and 534,099,492

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Solution

The third proportional to 245,276,946 and 534,099,492 is: 1,163,021,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,276,946 : 534,099,492 = 534,099,492 : x
  2. Step 2: Convert to fraction form
    245,276,946/534,099,492 = 534,099,492/x
  3. Step 3: Cross multiply
    245,276,946x = 534,099,492 × 534,099,492
  4. Step 4: Simplify right side
    245,276,946x = 285,262,267,354,658,048
  5. Step 5: Solve for x
    x = 285,262,267,354,658,048/245,276,946
  6. Step 6: Final answer
    x = 1,163,021,115.55

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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.