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Finding the Third Proportional to 548,225,064 and 1,196,911,132

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Solution

The third proportional to 548,225,064 and 1,196,911,132 is: 2,613,153,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,225,064 : 1,196,911,132 = 1,196,911,132 : x
  2. Step 2: Convert to fraction form
    548,225,064/1,196,911,132 = 1,196,911,132/x
  3. Step 3: Cross multiply
    548,225,064x = 1,196,911,132 × 1,196,911,132
  4. Step 4: Simplify right side
    548,225,064x = 1,432,596,257,905,521,408
  5. Step 5: Solve for x
    x = 1,432,596,257,905,521,408/548,225,064
  6. Step 6: Final answer
    x = 2,613,153,523.94

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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.