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Finding the Third Proportional to 1,107,257,630 and 1,557,283,773

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Solution

The third proportional to 1,107,257,630 and 1,557,283,773 is: 2,190,215,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,257,630 : 1,557,283,773 = 1,557,283,773 : x
  2. Step 2: Convert to fraction form
    1,107,257,630/1,557,283,773 = 1,557,283,773/x
  3. Step 3: Cross multiply
    1,107,257,630x = 1,557,283,773 × 1,557,283,773
  4. Step 4: Simplify right side
    1,107,257,630x = 2,425,132,749,649,115,648
  5. Step 5: Solve for x
    x = 2,425,132,749,649,115,648/1,107,257,630
  6. Step 6: Final answer
    x = 2,190,215,433.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.