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Finding the Third Proportional to 1,641,668,809,875 and 3,530,403,130,568

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Solution

The third proportional to 1,641,668,809,875 and 3,530,403,130,568 is: 7,592,119,792,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641,668,809,875 : 3,530,403,130,568 = 3,530,403,130,568 : x
  2. Step 2: Convert to fraction form
    1,641,668,809,875/3,530,403,130,568 = 3,530,403,130,568/x
  3. Step 3: Cross multiply
    1,641,668,809,875x = 3,530,403,130,568 × 3,530,403,130,568
  4. Step 4: Simplify right side
    1,641,668,809,875x = 12,463,746,264,324,334,900,215,808
  5. Step 5: Solve for x
    x = 12,463,746,264,324,334,900,215,808/1,641,668,809,875
  6. Step 6: Final answer
    x = 7,592,119,792,586.76

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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.