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Finding the Third Proportional to 675,943,072 and 1,448,897,072

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Solution

The third proportional to 675,943,072 and 1,448,897,072 is: 3,105,738,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,943,072 : 1,448,897,072 = 1,448,897,072 : x
  2. Step 2: Convert to fraction form
    675,943,072/1,448,897,072 = 1,448,897,072/x
  3. Step 3: Cross multiply
    675,943,072x = 1,448,897,072 × 1,448,897,072
  4. Step 4: Simplify right side
    675,943,072x = 2,099,302,725,250,173,184
  5. Step 5: Solve for x
    x = 2,099,302,725,250,173,184/675,943,072
  6. Step 6: Final answer
    x = 3,105,738,947.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.