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Finding the Third Proportional to 454,611,136 and 980,182,269

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Solution

The third proportional to 454,611,136 and 980,182,269 is: 2,113,360,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,611,136 : 980,182,269 = 980,182,269 : x
  2. Step 2: Convert to fraction form
    454,611,136/980,182,269 = 980,182,269/x
  3. Step 3: Cross multiply
    454,611,136x = 980,182,269 × 980,182,269
  4. Step 4: Simplify right side
    454,611,136x = 960,757,280,461,988,352
  5. Step 5: Solve for x
    x = 960,757,280,461,988,352/454,611,136
  6. Step 6: Final answer
    x = 2,113,360,638.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.