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Finding the Third Proportional to 1,539,101,095 and 3,296,132,407

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Solution

The third proportional to 1,539,101,095 and 3,296,132,407 is: 7,058,983,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,101,095 : 3,296,132,407 = 3,296,132,407 : x
  2. Step 2: Convert to fraction form
    1,539,101,095/3,296,132,407 = 3,296,132,407/x
  3. Step 3: Cross multiply
    1,539,101,095x = 3,296,132,407 × 3,296,132,407
  4. Step 4: Simplify right side
    1,539,101,095x = 10,864,488,844,475,613,184
  5. Step 5: Solve for x
    x = 10,864,488,844,475,613,184/1,539,101,095
  6. Step 6: Final answer
    x = 7,058,983,246.63

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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.