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Finding the Third Proportional to 671,874,644 and 1,043,186,013

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Solution

The third proportional to 671,874,644 and 1,043,186,013 is: 1,619,702,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,874,644 : 1,043,186,013 = 1,043,186,013 : x
  2. Step 2: Convert to fraction form
    671,874,644/1,043,186,013 = 1,043,186,013/x
  3. Step 3: Cross multiply
    671,874,644x = 1,043,186,013 × 1,043,186,013
  4. Step 4: Simplify right side
    671,874,644x = 1,088,237,057,718,836,224
  5. Step 5: Solve for x
    x = 1,088,237,057,718,836,224/671,874,644
  6. Step 6: Final answer
    x = 1,619,702,525.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.