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Finding the Third Proportional to 454,611,130 and 980,182,257

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Solution

The third proportional to 454,611,130 and 980,182,257 is: 2,113,360,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,611,130 : 980,182,257 = 980,182,257 : x
  2. Step 2: Convert to fraction form
    454,611,130/980,182,257 = 980,182,257/x
  3. Step 3: Cross multiply
    454,611,130x = 980,182,257 × 980,182,257
  4. Step 4: Simplify right side
    454,611,130x = 960,757,256,937,614,080
  5. Step 5: Solve for x
    x = 960,757,256,937,614,080/454,611,130
  6. Step 6: Final answer
    x = 2,113,360,614.24

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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.