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Finding the Third Proportional to 513,106,362 and 1,120,265,326

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Solution

The third proportional to 513,106,362 and 1,120,265,326 is: 2,445,875,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,106,362 : 1,120,265,326 = 1,120,265,326 : x
  2. Step 2: Convert to fraction form
    513,106,362/1,120,265,326 = 1,120,265,326/x
  3. Step 3: Cross multiply
    513,106,362x = 1,120,265,326 × 1,120,265,326
  4. Step 4: Simplify right side
    513,106,362x = 1,254,994,400,637,886,208
  5. Step 5: Solve for x
    x = 1,254,994,400,637,886,208/513,106,362
  6. Step 6: Final answer
    x = 2,445,875,735.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.