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Finding the Third Proportional to 1,145,985,411 and 2,455,339,074

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Solution

The third proportional to 1,145,985,411 and 2,455,339,074 is: 5,260,703,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,985,411 : 2,455,339,074 = 2,455,339,074 : x
  2. Step 2: Convert to fraction form
    1,145,985,411/2,455,339,074 = 2,455,339,074/x
  3. Step 3: Cross multiply
    1,145,985,411x = 2,455,339,074 × 2,455,339,074
  4. Step 4: Simplify right side
    1,145,985,411x = 6,028,689,968,311,177,216
  5. Step 5: Solve for x
    x = 6,028,689,968,311,177,216/1,145,985,411
  6. Step 6: Final answer
    x = 5,260,703,941.29

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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.