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Finding the Third Proportional to 3,483,859,176 and 5,160,482,136

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Solution

The third proportional to 3,483,859,176 and 5,160,482,136 is: 7,643,987,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483,859,176 : 5,160,482,136 = 5,160,482,136 : x
  2. Step 2: Convert to fraction form
    3,483,859,176/5,160,482,136 = 5,160,482,136/x
  3. Step 3: Cross multiply
    3,483,859,176x = 5,160,482,136 × 5,160,482,136
  4. Step 4: Simplify right side
    3,483,859,176x = 26,630,575,875,975,122,944
  5. Step 5: Solve for x
    x = 26,630,575,875,975,122,944/3,483,859,176
  6. Step 6: Final answer
    x = 7,643,987,466.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.