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Finding the Third Proportional to 538,808,136 and 1,163,836,560

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Solution

The third proportional to 538,808,136 and 1,163,836,560 is: 2,513,910,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,808,136 : 1,163,836,560 = 1,163,836,560 : x
  2. Step 2: Convert to fraction form
    538,808,136/1,163,836,560 = 1,163,836,560/x
  3. Step 3: Cross multiply
    538,808,136x = 1,163,836,560 × 1,163,836,560
  4. Step 4: Simplify right side
    538,808,136x = 1,354,515,538,392,633,600
  5. Step 5: Solve for x
    x = 1,354,515,538,392,633,600/538,808,136
  6. Step 6: Final answer
    x = 2,513,910,700.10

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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.