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Finding the Third Proportional to 1,054,408,701 and 2,267,502,366

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Solution

The third proportional to 1,054,408,701 and 2,267,502,366 is: 4,876,256,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,408,701 : 2,267,502,366 = 2,267,502,366 : x
  2. Step 2: Convert to fraction form
    1,054,408,701/2,267,502,366 = 2,267,502,366/x
  3. Step 3: Cross multiply
    1,054,408,701x = 2,267,502,366 × 2,267,502,366
  4. Step 4: Simplify right side
    1,054,408,701x = 5,141,566,979,815,598,080
  5. Step 5: Solve for x
    x = 5,141,566,979,815,598,080/1,054,408,701
  6. Step 6: Final answer
    x = 4,876,256,213.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.