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Finding the Third Proportional to 538,808,138 and 1,163,836,564

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Solution

The third proportional to 538,808,138 and 1,163,836,564 is: 2,513,910,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,808,138 : 1,163,836,564 = 1,163,836,564 : x
  2. Step 2: Convert to fraction form
    538,808,138/1,163,836,564 = 1,163,836,564/x
  3. Step 3: Cross multiply
    538,808,138x = 1,163,836,564 × 1,163,836,564
  4. Step 4: Simplify right side
    538,808,138x = 1,354,515,547,703,326,208
  5. Step 5: Solve for x
    x = 1,354,515,547,703,326,208/538,808,138
  6. Step 6: Final answer
    x = 2,513,910,708.05

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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.